Prime p₀= 1526571375310399967 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 4 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 90 92 150 152 174 176
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: 176
Found by: crashtech
db: batch=78, k=12, 2 22 2 58 2 4

TPT(14)	1526570799493270439	0 2 42 44 138 140 150 152 228 230 240 242 270 272	-575817129528
SPT(16)	1526570854424242241	0 20 26 42 60 62 68 72 86 90 96 98 116 132 138 158	-520886157726
STPT(10)	1526570897560658627	0 2 30 32 42 44 54 56 84 86	-477749741340
SPT(16)	1526570934258908807	0 2 20 86 90 126 132 146 150 164 170 206 210 276 294 296	-441051491160
SPT(16)	1526570982888396377	0 56 60 62 66 72 140 170 186 216 284 290 294 296 300 356	-392422003590
SPT(16)	1526571302738648587	0 4 10 24 40 46 100 124 156 180 234 240 256 270 276 280	-72571751380
STPT(10)	1526571851600474477	0 2 30 32 42 44 54 56 84 86	476290074510
SPT(20)	1526572240100086961	0 8 18 38 60 92 96 122 146 150 218 222 246 272 276 308 330 350 360 368	864789686994
TPT(14)	1526572608504958367	0 2 150 152 300 302 462 464 474 476 510 512 684 686	1233194558400
STPT(10)	1526572809361033781	0 2 6 8 48 50 90 92 96 98	1434050633814
SPT(13)	1526573162907910367	0 60 66 126 150 162 186 210 222 246 306 312 372	1787597510400