Prime p₀= 1033358705653106837 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 130 2 40 2 4 2 40 2 130 2 (?)
a_n: 0 2 132 134 174 176 180 182 222 224 354 356
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: 356
Found by: stoneageman
db: batch=76, k=12, 2 130 2 40 2 4

SPT(16)	1033357439746441921	0 28 42 46 70 72 108 150 178 220 256 258 282 286 300 328	-1265906664916
SPT(16)	1033357508413152067	0 6 10 34 70 84 96 124 132 160 172 186 222 246 250 256	-1197239954770
SPT(16)	1033358024081695327	0 10 22 52 70 100 112 120 136 144 156 186 204 234 246 256	-681571411510
STPT(10)	1033358205530298257	0 2 30 32 42 44 54 56 84 86	-500122808580
SPT(16)	1033358397304987333	0 6 28 48 144 156 180 186 238 244 268 280 376 396 418 424	-308348119504
STPT(12)	1033358644905863231	0 2 60 62 90 92 138 140 168 170 228 230	-60747243606
SPT(18)	1033358761900628521	0 22 28 30 52 66 70 88 100 108 120 138 142 156 178 180 186 208	56247521684
SPT(16)	1033359083947082843	0 26 38 44 54 80 110 114 140 144 174 200 210 216 228 254	378293976006
TPT(14)	1033359806335330919	0 2 18 20 90 92 168 170 210 212 252 254 258 260	1100682224082
SPT(16)	1033359859811069603	0 26 30 36 38 66 108 180 224 296 338 366 368 374 378 404	1154157962766
STPT(10)	1033359900269111417	0 2 30 32 60 62 90 92 120 122	1194616004580