Prime p₀= 2401938057071067197 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: Penguin
db: batch=82, k=12, 2 10 2 28 2 16

SPT(16)	2401936840566410867	0 2 12 54 62 84 90 104 180 194 200 222 230 272 282 284	-1216504656330
SPT(16)	2401936858830453913	0 78 100 126 148 154 168 174 190 196 210 216 238 264 286 364	-1198240613284
SPT(16)	2401937067332074099	0 58 90 144 168 244 252 304 318 370 378 454 478 532 564 622	-989738993098
SPT(16)	2401937185446937751	0 2 12 30 62 68 72 90 98 116 120 126 158 176 186 188	-871624129446
STPT(10)	2401937216457522179	0 2 42 44 60 62 78 80 120 122	-840613545018
SPT(16)	2401937292195990979	0 24 30 42 94 100 132 160 174 202 234 240 292 304 310 334	-764875076218
SPT(16)	2401938202702763381	0 2 12 138 140 170 180 312 416 548 558 588 590 716 726 728	145631696184
STPT(10)	2401938231361842917	0 2 42 44 102 104 162 164 204 206	174290775720
STPT(10)	2401938422692894409	0 2 18 20 60 62 102 104 120 122	365621827212
SPT(16)	2401938622617714559	0 10 22 40 60 70 112 142 192 222 264 274 294 312 324 334	565546647362
SPT(16)	2401938656631870691	0 40 60 70 76 82 88 90 208 210 216 222 228 238 258 298	599560803494