Prime p₀= 857499729668969669 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 40 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 102 104 120 122 162 164
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: 164
Found by: Frank [NT]
db: batch=73, k=12, 2 40 2 16 2 40

SPT(16)	857498063378945159	0 48 54 108 120 140 150 194 234 278 288 308 320 374 380 428	-1666290024510
TPT(14)	857498523356509457	0 2 12 14 90 92 150 152 192 194 222 224 252 254	-1206312460212
SPT(16)	857498790109569001	0 66 102 150 160 162 172 192 196 216 226 228 238 286 322 388	-939559400668
TPT(14)	857498935867875731	0 2 138 140 150 152 180 182 210 212 258 260 288 290	-793801093938
STPT(10)	857499158744950217	0 2 12 14 42 44 72 74 84 86	-570924019452
SPT(18)	857499612453200621	0 36 42 48 86 116 198 210 212 216 218 230 312 342 380 386 392 428	-117215769048
SPT(16)	857499772690875887	0 20 56 62 66 132 146 150 206 210 224 290 294 300 336 356	43021906218
SPT(16)	857499965274404909	0 18 48 90 98 108 114 132 140 158 164 174 182 224 254 272	235605435240
SPT(18)	857500052805413359	0 4 24 30 84 94 102 114 124 228 238 250 258 268 322 328 348 352	323136443690
SPT(16)	857500071676628011	0 42 52 58 60 102 112 136 162 186 196 238 240 246 256 298	342007658342
STPT(10)	857500354311437621	0 2 36 38 78 80 120 122 156 158	624642467952