Prime p₀= 2174255218486722947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 178 2 40 2 40 2 4 2 10 2 (?)
a_n: 0 2 30 32 210 212 252 254 294 296 300 302 312 314
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: 314
Found by: conf [MM]
db: batch=81, k=14, 28 178 40 40 4 10

SPT(16)	2174253505086822899	0 18 42 50 84 158 174 192 200 218 234 308 342 350 374 392	-1713399900048
STPT(10)	2174253564982535747	0 2 12 14 42 44 72 74 84 86	-1653504187200
SPT(16)	2174253677437481333	0 24 30 44 56 114 168 180 224 236 290 348 360 374 380 404	-1541049241614
STPT(10)	2174254093187382419	0 2 48 50 90 92 132 134 180 182	-1125299340528
STPT(10)	2174254465938485627	0 2 54 56 72 74 90 92 144 146	-752548237320
SPT(16)	2174255047144906963	0 4 24 156 184 186 196 240 250 294 304 306 334 466 486 490	-171341815984
SPT(16)	2174255927622581431	0 40 46 66 70 136 150 178 228 256 270 336 340 360 366 406	709135858484
SPT(16)	2174256708307828351	0 36 42 58 126 162 180 216 232 268 286 322 390 406 412 448	1489821105404
SPT(16)	2174256744259341457	0 4 6 34 46 72 106 156 160 210 244 270 282 310 312 316	1525772618510
SPT(16)	2174256795395265151	0 48 58 76 82 88 90 102 226 238 240 246 252 270 280 328	1576908542204
SPT(16)	2174257068244216687	0 34 36 40 42 46 112 114 172 174 240 244 246 250 252 286	1849757493740