Prime p₀= 1136122989855845471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 58 2 28 2 88 2 58 2 (?)
a_n: 0 2 30 32 126 128 186 188 216 218 306 308 366 368
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: 368
Found by: stoneageman
db: batch=76, k=14, 28 94 58 28 88 58

SPT(16)	1136122155773413217	0 14 50 54 84 104 120 126 140 146 162 182 212 216 252 266	-834082432254
SPT(16)	1136122567908669157	0 12 24 34 70 82 84 126 130 172 174 186 222 232 244 256	-421947176314
SPT(16)	1136122599749261587	0 12 60 82 100 106 144 154 222 232 270 276 294 316 364 376	-390106583884
SPT(16)	1136122624742036293	0 40 48 70 96 150 174 204 220 250 274 328 354 376 384 424	-365113809178
SPT(16)	1136122783209405931	0 10 18 88 90 112 130 156 232 258 276 298 300 370 378 388	-206646439540
SPT(16)	1136122833673124047	0 4 34 36 66 112 132 142 204 214 234 280 310 312 342 346	-156182721424
STPT(10)	1136123524222065011	0 2 6 8 48 50 90 92 96 98	534366219540
SPT(16)	1136123870136123293	0 18 24 38 66 174 188 228 266 306 320 428 456 470 476 494	880280277822
SPT(16)	1136124618235645121	0 18 20 26 42 132 156 186 392 422 446 536 552 558 560 578	1628379799650
TPT(14)	1136124949541592419	0 2 12 14 132 134 162 164 180 182 192 194 342 344	1959685746948
SPT(16)	1136125474131163199	0 8 14 38 80 90 134 138 260 264 308 318 360 384 390 398	2484275317728