Prime p₀= 1264827733939531211 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 4 2 82 2 64 2 82 2 4 2 (?)
a_n: 0 2 6 8 90 92 156 158 240 242 246 248
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: 248
Found by: HenkM
db: batch=77, k=12, 2 4 2 82 2 64

STPT(12)	1264827028076474381	0 2 30 32 36 38 120 122 126 128 156 158	-705863056830
STPT(10)	1264827035991685091	0 2 30 32 78 80 126 128 156 158	-697947846120
TPT(14)	1264827147377901491	0 2 18 20 60 62 126 128 138 140 180 182 198 200	-586561629720
SPT(16)	1264827207449769281	0 8 36 48 90 96 138 152 156 170 212 218 260 272 300 308	-526489761930
STPT(10)	1264827245225017289	0 2 12 14 30 32 48 50 60 62	-488714513922
STPT(10)	1264827486843446081	0 2 6 8 48 50 90 92 96 98	-247096085130
SPT(16)	1264827876246661483	0 30 54 66 184 208 210 220 294 304 306 330 448 460 484 514	142307130272
TPT(14)	1264827935720235581	0 2 30 32 36 38 48 50 60 62 78 80 120 122	201780704370
SPT(16)	1264827999304772809	0 18 40 82 84 88 100 180 202 282 294 298 300 342 364 382	265365241598
STPT(10)	1264828081280510531	0 2 36 38 78 80 120 122 156 158	347340979320
SPT(16)	1264828258458649987	0 4 102 124 130 154 160 172 204 216 222 246 252 274 372 376	524519118776