Prime p₀= 2691537024491981717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 70 2 28 2 40 2 34 2 (?)
a_n: 0 2 30 32 60 62 132 134 162 164 204 206 240 242
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: 242
Found by: biodoc
db: batch=82, k=14, 28 28 70 28 40 34

SPT(16)	2691535767746361127	0 22 72 114 124 130 172 174 280 282 324 330 340 382 432 454	-1256745620590
STPT(10)	2691536082199143209	0 2 42 44 120 122 198 200 240 242	-942292838508
STPT(10)	2691536262606682661	0 2 30 32 78 80 126 128 156 158	-761885299056
STPT(10)	2691536369143510697	0 2 54 56 72 74 90 92 144 146	-655348471020
SPT(16)	2691536826802156937	0 24 32 60 92 102 104 126 140 162 164 174 206 234 242 266	-197689824780
SPT(18)	2691536849687210197	0 22 60 70 100 102 210 294 316 330 352 436 544 546 576 586 624 646	-174804771520
SPT(16)	2691537041987603419	0 10 30 52 100 102 130 154 210 234 262 264 312 334 354 364	17495621702
STPT(10)	2691537671174379227	0 2 30 32 72 74 114 116 144 146	646682397510
STPT(10)	2691537998314514519	0 2 18 20 30 32 42 44 60 62	973822532802
STPT(10)	2691538070428765841	0 2 6 8 48 50 90 92 96 98	1045936784124
SPT(16)	2691538151406731329	0 22 120 150 154 174 190 204 208 222 238 258 262 292 390 412	1126914749612