Prime p₀= 1290787521072987059 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: Cruncher Pete
db: batch=77, k=12, 2 10 2 28 2 4

SPT(16)	1290785874074517511	0 12 42 52 60 88 108 132 166 190 210 238 246 256 286 298	-1646998469548
SPT(16)	1290785942001660289	0 40 48 82 100 120 168 264 268 364 412 432 450 484 492 532	-1579071326770
SPT(16)	1290786061680876301	0 28 30 66 106 142 160 178 210 228 246 282 322 358 360 388	-1459392110758
SPT(20)	1290786283508507209	0 28 42 180 238 264 328 340 364 384 448 468 492 504 568 594 652 790 804 832	-1237564479850
SPT(16)	1290786286701723841	0 18 60 102 126 148 208 288 340 420 480 502 526 568 610 628	-1234371263218
SPT(16)	1290786712975381169	0 8 18 72 80 108 162 224 228 290 344 372 380 434 444 452	-808097605890
SPT(16)	1290787782102630029	0 12 14 32 98 102 122 170 192 240 260 264 330 348 350 362	261029642970
STPT(10)	1290788083243393349	0 2 18 20 30 32 42 44 60 62	562170406290
STPT(10)	1290788145582298421	0 2 36 38 78 80 120 122 156 158	624509311362
SPT(16)	1290788261231234683	0 4 40 58 60 124 130 168 310 348 354 418 420 438 474 478	740158247624
STPT(10)	1290788319395850017	0 2 30 32 42 44 54 56 84 86	798322862958