Prime p₀= 1022084867769347309 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 106 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 180 182 210 212 252 254
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: 254
Found by: stoneageman
db: batch=76, k=12, 2 40 2 28 2 106

SPT(16)	1022084245615041613	0 54 58 64 70 156 174 186 268 280 298 384 390 396 400 454	-622154305696
STPT(10)	1022084268287405579	0 2 12 14 90 92 168 170 180 182	-599481941730
STPT(10)	1022084270447294069	0 2 78 80 120 122 162 164 240 242	-597322053240
STPT(10)	1022084377943156579	0 2 18 20 30 32 42 44 60 62	-489826190730
STPT(10)	1022084643766193279	0 2 18 20 30 32 42 44 60 62	-224003154030
SPT(16)	1022084696131348163	0 108 114 116 150 164 198 216 248 266 300 314 348 350 356 464	-171637999146
SPT(16)	1022085775750073051	0 20 72 78 128 162 180 188 240 248 266 300 350 356 408 428	907980725742
STPT(10)	1022085956504136569	0 2 42 44 90 92 138 140 180 182	1088734789260
SPT(16)	1022086230129381229	0 28 72 88 94 102 114 138 184 208 220 228 234 250 294 322	1362360033920
SPT(18)	1022086245183914081	0 12 30 90 98 108 132 140 210 218 288 296 320 330 338 398 416 428	1377414566772
STPT(10)	1022086276019965547	0 2 30 32 42 44 54 56 84 86	1408250618238