Prime p₀= 1547949609369268751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 58 2 76 2 16 2 10 2 16 2 (?)
a_n: 0 2 60 62 120 122 198 200 216 218 228 230 246 248
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: 248
Found by: crashtech
db: batch=78, k=14, 58 58 76 16 10 16

SPT(20)	1547948315556949039	0 10 18 24 34 40 42 48 108 138 214 244 304 310 312 318 328 334 342 352	-1293812319712
SPT(16)	1547948594011322039	0 38 50 84 104 150 174 182 270 278 302 348 368 402 414 452	-1015357946712
SPT(16)	1547948609965876801	0 46 70 72 78 96 106 138 190 222 232 250 256 258 282 328	-999403391950
SPT(16)	1547949074638365611	0 38 56 66 102 122 200 218 240 258 336 356 392 402 420 458	-534730903140
SPT(16)	1547949523140166409	0 8 14 50 60 90 104 132 170 198 212 242 252 288 294 302	-86229102342
SPT(16)	1547949537426956177	0 24 72 120 126 156 176 210 296 330 350 380 386 434 482 506	-71942312574
SPT(18)	1547949954720022151	0 20 30 50 62 68 72 96 126 182 212 236 240 246 258 278 288 308	345350753400
STPT(10)	1547949972525800027	0 2 30 32 60 62 90 92 120 122	363156531276
SPT(16)	1547950071734505281	0 6 36 72 98 120 140 150 188 198 218 240 266 302 332 338	462365236530
STPT(10)	1547950081466249579	0 2 18 20 30 32 42 44 60 62	472096980828
SPT(16)	1547950596793843369	0 4 12 64 70 112 114 154 180 220 222 264 270 322 330 334	987424574618