Prime p₀= 180891048347595797 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 208 2 10 2 16 2 10 2 (?)
a_n: 0 2 12 14 222 224 234 236 252 254 264 266
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: 266
Found by: Euphoriabuzz
db: batch=69, k=12, 10 208 10 16 10

SPT(14)	180890993520722483	0 6 48 126 138 140 146 270 276 278 290 368 410 416	-54826873314
SPT(14)	180891020776430201	0 20 26 42 56 96 152 210 266 306 320 336 342 362	-27571165596
SPT(14)	180891032488534289	0 8 20 32 42 78 84 98 104 140 150 162 174 182	-15859061508
SPT(14)	180891034604523401	0 2 30 32 48 78 92 96 110 140 156 158 186 188	-13743072396
SPT(14)	180891044525758571	0 30 42 60 72 78 90 210 222 228 240 258 270 300	-3821837226
SPT(14)	180891047445143881	0 6 48 58 76 82 96 112 126 132 150 160 202 208	-902451916
TPT(12)	180891077889356381	0 2 108 110 180 182 288 290 360 362 420 422	29541760584
STPT(10)	180891079441827581	0 2 30 32 78 80 126 128 156 158	31094231784
SPT(14)	180891097496738351	0 8 38 60 72 86 98 150 162 176 188 210 240 248	49149142554
SPT(14)	180891118661521381	0 18 22 42 58 72 106 192 226 240 256 276 280 298	70313925584
SPT(14)	180891119879418199	0 30 42 72 108 114 150 172 208 214 250 280 292 322	71531822402