Prime p₀= 2038649760254635607 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: arkiss
db: batch=80, k=12, 2 28 2 28 2 10

SPT(16)	2038648194053547149	0 8 14 42 50 62 84 104 168 188 210 222 230 258 264 272	-1566201088458
TPT(14)	2038648280815332377	0 2 114 116 120 122 204 206 354 356 372 374 384 386	-1479439303230
STPT(10)	2038648405636297751	0 2 6 8 18 20 30 32 36 38	-1354618337856
SPT(16)	2038648490257339273	0 60 180 208 238 258 280 300 328 348 370 390 420 448 568 628	-1269997296334
SPT(16)	2038648696720958981	0 38 66 92 102 120 168 192 236 260 308 326 336 362 390 428	-1063533676626
STPT(10)	2038648716044522339	0 2 18 20 30 32 42 44 60 62	-1044210113268
STPT(10)	2038649923395680261	0 2 6 8 18 20 30 32 36 38	163141044654
STPT(10)	2038650136246551719	0 2 12 14 90 92 168 170 180 182	375991916112
SPT(16)	2038650301985286973	0 16 34 36 78 90 96 114 130 148 154 166 208 210 228 244	541730651366
SPT(16)	2038650444045746779	0 54 58 78 120 150 198 208 234 244 292 322 364 384 388 442	683791111172
SPT(16)	2038650967034335331	0 56 62 72 138 140 152 168 170 186 198 200 266 276 282 338	1206779699724