Prime p₀= 822670420264384691 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 94 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 126 128 138 140 156 158
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: 158
Found by: GLeeM
db: batch=73, k=12, 2 16 2 10 2 94

STPT(12)	822669325492118477	0 2 72 74 84 86 90 92 102 104 174 176	-1094772266214
SPT(16)	822669397902047881	0 42 48 52 72 106 126 132 136 142 162 196 216 220 226 268	-1022362336810
SPT(16)	822669455494937047	0 6 60 64 72 76 82 112 174 204 210 214 222 226 280 286	-964769447644
STPT(10)	822670110634692347	0 2 24 26 42 44 60 62 84 86	-309629692344
SPT(16)	822670150977886577	0 2 6 20 32 44 84 86 90 92 132 144 156 170 174 176	-269286498114
TPT(16)	822670420264384607	0 2 42 44 84 86 102 104 114 116 210 212 222 224 240 242	-84
SPT(16)	822670571827111379	0 50 102 108 150 152 164 180 182 198 210 212 254 260 312 362	151562726688
STPT(10)	822670842711879911	0 2 36 38 78 80 120 122 156 158	422447495220
SPT(16)	822670962442414399	0 34 54 70 88 108 130 142 210 222 244 264 282 298 318 352	542178029708
STPT(10)	822671016334386587	0 2 30 32 42 44 54 56 84 86	596070001896
STPT(10)	822671038181907281	0 2 6 8 48 50 90 92 96 98	617917522590