Prime p₀= 2428236773385143219 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=12, 2 40 2 4 2 22

SPT(16)	2428235211827233049	0 2 68 72 80 98 114 180 182 248 264 282 290 294 360 362	-1561557910170
SPT(16)	2428235972886403453	0 4 30 46 96 126 144 166 258 280 298 328 378 394 420 424	-800498739766
STPT(10)	2428236012452605931	0 2 36 38 78 80 120 122 156 158	-760932537288
STPT(10)	2428236312610533707	0 2 42 44 72 74 102 104 144 146	-460774609512
SPT(16)	2428236451088660501	0 18 66 92 128 170 260 276 302 318 408 450 486 512 560 578	-322296482718
STPT(10)	2428236740296763951	0 2 36 38 78 80 120 122 156 158	-33088379268
SPT(16)	2428237026090310613	0 36 66 80 126 128 170 176 198 204 246 248 294 308 338 374	252705167394
STPT(10)	2428237064248216547	0 2 42 44 72 74 102 104 144 146	290863073328
TPT(14)	2428237112446001399	0 2 30 32 48 50 90 92 102 104 132 134 138 140	339060858180
SPT(16)	2428237289261338649	0 48 120 128 174 182 194 234 278 318 330 338 384 392 464 512	515876195430
SPT(16)	2428237303348616651	0 2 20 30 36 62 72 108 110 146 156 182 188 198 216 218	529963473432