Prime p₀= 1540080522171160379 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: crashtech
db: batch=78, k=12, 2 10 2 4 2 22

SPT(16)	1540079300363013989	0 68 78 90 98 108 132 230 252 350 374 384 392 404 414 482	-1221808146390
STPT(10)	1540079502913911917	0 2 24 26 42 44 60 62 84 86	-1019257248462
STPT(10)	1540079765135007539	0 2 18 20 60 62 102 104 120 122	-757036152840
SPT(16)	1540079872459792093	0 6 24 28 36 84 184 196 288 300 400 448 456 460 478 484	-649711368286
SPT(16)	1540079954381744051	0 30 66 68 150 152 180 240 248 308 336 338 420 422 458 488	-567789416328
STPT(10)	1540080354044189687	0 2 30 32 72 74 114 116 144 146	-168126970692
TPT(14)	1540080550700186921	0 2 18 20 30 32 60 62 126 128 150 152 228 230	28529026542
SPT(16)	1540080639803416673	0 8 48 50 96 110 140 188 216 264 294 308 354 356 396 404	117632256294
SPT(16)	1540080799016809729	0 12 28 78 82 94 108 124 138 154 168 180 184 234 250 262	276845649350
STPT(10)	1540080821934143381	0 2 6 8 48 50 90 92 96 98	299762983002
TPT(14)	1540081253123707157	0 2 54 56 84 86 120 122 162 164 180 182 294 296	730952546778