Prime p₀= 2588621125626730091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 166 2 10 2 10 2 16 2 10 2 (?)
a_n: 0 2 18 20 186 188 198 200 210 212 228 230 240 242
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: RFGuy_KCCO
db: batch=82, k=14, 16 166 10 10 16 10

SPT(16)	2588620008573744931	0 52 60 78 90 100 168 192 238 262 330 340 352 370 378 430	-1117052985160
SPT(16)	2588620193827614929	0 12 48 80 92 114 132 140 162 170 188 210 222 254 290 302	-931799115162
SPT(16)	2588620269224503403	0 8 24 26 36 38 68 80 84 96 126 128 138 140 156 164	-856402226688
SPT(16)	2588620587762814453	0 4 46 58 76 78 148 150 154 156 226 228 246 258 300 304	-537863915638
SPT(16)	2588620714509272473	0 16 60 66 90 94 120 148 156 184 210 214 238 244 288 304	-411117457618
STPT(10)	2588621096754088181	0 2 30 32 60 62 90 92 120 122	-28872641910
STPT(10)	2588621336037606971	0 2 6 8 48 50 90 92 96 98	210410876880
SPT(16)	2588621646403381471	0 10 12 22 106 150 190 270 358 438 478 522 606 616 618 628	520776651380
STPT(10)	2588621770596390161	0 2 6 8 48 50 90 92 96 98	644969660070
STPT(10)	2588621824937880629	0 2 18 20 30 32 42 44 60 62	699311150538
STPT(10)	2588622002397147989	0 2 18 20 30 32 42 44 60 62	876770417898