Prime p₀= 2774881025692524107 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: JayPi
db: batch=82, k=12, 2 28 2 28 2 10

STPT(10)	2774879130268360931	0 2 6 8 48 50 90 92 96 98	-1895424163176
SPT(16)	2774879770318194937	0 10 46 102 124 136 144 214 222 292 300 312 334 390 426 436	-1255374329170
TPT(14)	2774880092177813687	0 2 12 14 72 74 240 242 270 272 324 326 354 356	-933514710420
STPT(10)	2774880269872589507	0 2 30 32 72 74 114 116 144 146	-755819934600
SPT(16)	2774880721030107707	0 2 12 36 56 80 84 86 90 92 96 120 140 164 174 176	-304662416400
SPT(16)	2774880818066017883	0 48 56 80 134 138 176 224 300 348 386 390 444 468 476 524	-207626506224
TPT(14)	2774881290684717161	0 2 120 122 390 392 498 500 510 512 516 518 528 530	264992193054
SPT(16)	2774881784241834031	0 6 10 18 90 102 108 112 216 220 226 238 310 318 322 328	758549309924
SPT(16)	2774881850550800531	0 6 66 78 92 98 116 120 128 132 150 156 170 182 242 248	824858276424
STPT(10)	2774882042918283581	0 2 6 8 48 50 90 92 96 98	1017225759474
SPT(16)	2774882087139915391	0 6 22 46 60 106 126 150 172 196 216 262 276 300 316 322	1061447391284