Prime p₀= 2308956224401426679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 70 2 64 2 28 2 58 2 10 2 (?)
a_n: 0 2 60 62 132 134 198 200 228 230 288 290 300 302
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: 302
Found by: Orange Kid
db: batch=81, k=14, 58 70 64 28 58 10

SPT(16)	2308954706827261147	0 36 64 76 90 120 184 202 204 222 286 316 330 342 370 406	-1517574165532
SPT(16)	2308954840254850903	0 24 30 100 166 178 216 234 250 268 306 318 384 454 460 484	-1384146575776
STPT(10)	2308955296016011439	0 2 18 20 30 32 42 44 60 62	-928385415240
STPT(10)	2308955555669828027	0 2 30 32 42 44 54 56 84 86	-668731598652
TPT(14)	2308955756837422907	0 2 54 56 60 62 84 86 132 134 282 284 294 296	-467564003772
SPT(16)	2308955766100790029	0 48 58 70 72 108 150 178 192 220 262 298 300 312 322 370	-458300636650
SPT(16)	2308956350972670167	0 44 54 62 66 84 86 96 140 150 152 170 174 182 192 236	126571243488
SPT(16)	2308956504871143221	0 8 72 78 80 92 122 128 132 138 168 180 182 188 252 260	280469716542
STPT(10)	2308956534013983911	0 2 36 38 78 80 120 122 156 158	309612557232
SPT(16)	2308956688929254921	0 50 62 78 96 116 120 140 258 278 282 302 320 336 348 398	464527828242
SPT(16)	2308956744602932423	0 10 24 28 48 54 58 94 114 150 154 160 180 184 198 208	520201505744