Prime p₀= 2371026189729424457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 94 2 10 2 40 2 4 2 (?)
a_n: 0 2 24 26 84 86 180 182 192 194 234 236 240 242
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: [AF>Amis des Lapins] Fredjke
db: batch=81, k=14, 22 58 94 10 40 4

STPT(10)	2371024978437612251	0 2 126 128 138 140 150 152 276 278	-1211291812206
SPT(16)	2371025044203608381	0 2 18 86 108 116 150 210 278 338 372 380 402 470 486 488	-1145525816076
STPT(10)	2371025094214046717	0 2 42 44 72 74 102 104 144 146	-1095515377740
TPT(14)	2371025397294748721	0 2 18 20 36 38 48 50 60 62 90 92 156 158	-792434675736
SPT(16)	2371025463376679867	0 36 80 86 92 102 134 162 164 192 224 234 240 246 290 326	-726352744590
STPT(10)	2371025774575477499	0 2 18 20 30 32 42 44 60 62	-415153946958
TPT(14)	2371026480498098831	0 2 48 50 156 158 168 170 288 290 300 302 330 332	290768674374
SPT(16)	2371026828388579939	0 4 42 88 102 114 142 198 244 300 328 340 354 400 438 442	638659155482
STPT(10)	2371027156604845547	0 2 30 32 42 44 54 56 84 86	966875421090
SPT(16)	2371027691542532251	0 22 42 66 82 132 136 138 160 162 166 216 232 256 276 298	1501813107794
SPT(16)	2371027766732441653	0 6 90 118 148 166 210 214 240 244 288 306 336 364 448 454	1577003017196