Prime p₀= 1022170282597352807 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 46 2 22 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 114 116 162 164 204 206
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: 206
Found by: stoneageman
db: batch=76, k=12, 2 40 2 46 2 22

SPT(16)	1022168721280995833	0 20 56 68 96 98 108 128 168 188 198 200 228 240 276 296	-1561316356974
STPT(10)	1022168974185318077	0 2 24 26 42 44 60 62 84 86	-1308412034730
SPT(16)	1022169209859125387	0 2 30 36 42 44 80 86 90 96 132 134 140 146 174 176	-1072738227420
SPT(16)	1022169469205624539	0 4 28 64 112 130 148 160 282 294 312 330 378 414 438 442	-813391728268
STPT(10)	1022170024940281499	0 2 42 44 60 62 78 80 120 122	-257657071308
STPT(10)	1022170029319770971	0 2 6 8 48 50 90 92 96 98	-253277581836
SPT(16)	1022170407305769499	0 30 60 78 114 120 138 228 334 424 442 448 484 502 532 562	124708416692
SPT(16)	1022170895947071877	0 4 10 12 30 40 42 70 114 142 144 154 172 174 180 184	613349719070
STPT(10)	1022170999259503697	0 2 90 92 102 104 114 116 204 206	716662150890
SPT(16)	1022171335498759889	0 2 48 50 60 72 98 132 158 192 218 230 240 242 288 290	1052901407082
SPT(16)	1022171343557302291	0 28 72 78 82 90 96 138 220 262 268 276 280 286 330 358	1060959949484