Prime p₀= 944689538591365757 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 64 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 150 152 210 212 234 236
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: 236
Found by: Theadalus
db: batch=76, k=12, 2 22 2 58 2 64

STPT(10)	944687829192140951	0 2 30 32 78 80 126 128 156 158	-1709399224806
SPT(16)	944688329009155333	0 4 10 28 36 54 64 106 168 210 220 238 246 264 270 274	-1209582210424
STPT(10)	944688471303554741	0 2 30 32 78 80 126 128 156 158	-1067287811016
TPT(14)	944688626120244959	0 2 72 74 90 92 120 122 288 290 312 314 420 422	-912471120798
SPT(16)	944689117161551023	0 16 114 126 196 204 210 304 390 484 490 498 568 580 678 694	-421429814734
SPT(16)	944689534214555531	0 12 20 42 50 62 78 98 132 152 168 180 188 210 218 230	-4376810226
STPT(10)	944689575087988757	0 2 24 26 42 44 60 62 84 86	36496623000
SPT(16)	944689791172489163	0 14 36 54 74 96 110 146 168 204 218 240 260 278 300 314	252581123406
SPT(16)	944689815587153627	0 32 36 50 56 80 102 146 180 224 246 270 276 290 294 326	276995787870
STPT(10)	944689819935605477	0 2 30 32 42 44 54 56 84 86	281344239720
TPT(14)	944689935698690537	0 2 30 32 42 44 72 74 114 116 222 224 252 254	397107324780