Prime p₀= 8542765360461977 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 190 2 4 2 22 2 4 2 (?)
a_n: 0 2 12 14 204 206 210 212 234 236 240 242
All 12 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: Dario666
db: batch=62, k=12, 10 190 4 22 4

SPT(14)	8542736486737493	0 24 50 66 68 80 84 200 204 216 218 234 260 284	-28873724484
TPT(12)	8542751355106457	0 2 30 32 84 86 144 146 150 152 222 224	-14005355520
SPT(16)	8542756222455869	0 14 24 30 68 84 102 162 200 260 278 294 332 338 348 362	-9138006108
SPT(14)	8542760201714737	0 40 52 60 82 96 102 154 160 174 196 204 216 256	-5158747240
SPT(14)	8542760520834959	0 12 14 30 80 84 102 152 170 174 224 240 242 254	-4839627018
SPT(20)	8542764719470543	0 34 46 70 84 100 126 148 150 184 330 364 366 388 414 430 444 468 480 514	-640991434
SPT(16)	8542777570801783	0 18 96 100 126 138 154 168 196 210 226 238 264 268 346 364	12210339806
TPT(14)	8542780708109717	0 2 42 44 54 56 60 62 114 116 144 146 210 212	15347647740
SPT(14)	8542786689300499	0 72 142 240 262 280 294 328 342 360 382 480 550 622	21328838522
SPT(14)	8542788135679801	0 6 16 22 40 66 70 78 82 108 126 132 142 148	22775217824
SPT(14)	8542841981290037	0 42 50 80 92 102 114 122 134 144 156 186 194 236	76620828060