Prime p₀= 1425303826972853099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 40 2 28 2 46 2 40 2 286 2 (?)
a_n: 0 2 198 200 240 242 270 272 318 320 360 362 648 650
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 650
Found by: Theadalus
db: batch=78, k=14, 196 40 28 46 40 286

SPT(16)	1425302918052532789	0 34 54 64 90 100 102 112 132 142 144 154 180 190 210 244	-908920320310
SPT(16)	1425302976155998249	0 72 84 162 192 220 228 234 238 244 252 280 310 388 400 472	-850816854850
SPT(16)	1425303116191041881	0 48 62 78 80 110 120 128 132 140 150 180 182 198 212 260	-710781811218
SPT(16)	1425303189429812887	0 6 22 34 42 94 120 132 154 166 192 244 252 264 280 286	-637543040212
SPT(16)	1425303488636785361	0 38 42 80 116 140 168 186 212 230 258 282 318 356 360 398	-338336067738
SPT(20)	1425303740539688803	0 10 48 76 120 268 280 304 310 346 348 384 390 414 426 574 618 646 684 694	-86433164296
SPT(16)	1425303925092285503	0 18 24 90 110 156 174 228 236 290 308 354 374 440 446 464	98119432404
SPT(16)	1425304099582181927	0 50 56 62 140 146 150 162 194 206 210 216 294 300 306 356	272609328828
SPT(16)	1425304258917675517	0 24 40 72 82 90 132 154 162 184 226 234 244 276 292 316	431944822418
STPT(10)	1425304294222923857	0 2 30 32 42 44 54 56 84 86	467250070758
SPT(16)	1425304382668752991	0 72 96 142 150 168 192 208 210 226 250 268 276 322 346 418	555695899892