Prime p₀= 1033358644905863231 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 28 2 46 2 28 2 58 2 (?)
a_n: 0 2 60 62 90 92 138 140 168 170 228 230
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: 230
Found by: stoneageman
db: batch=76, k=12, 2 58 2 28 2 46

SPT(16)	1033357261478696131	0 18 70 106 138 168 220 238 288 306 358 388 420 456 508 526	-1383427167100
SPT(16)	1033357439746441921	0 28 42 46 70 72 108 150 178 220 256 258 282 286 300 328	-1205159421310
SPT(16)	1033357508413152067	0 6 10 34 70 84 96 124 132 160 172 186 222 246 250 256	-1136492711164
SPT(16)	1033358024081695327	0 10 22 52 70 100 112 120 136 144 156 186 204 234 246 256	-620824167904
STPT(10)	1033358205530298257	0 2 30 32 42 44 54 56 84 86	-439375564974
SPT(16)	1033358397304987333	0 6 28 48 144 156 180 186 238 244 268 280 376 396 418 424	-247600875898
STPT(12)	1033358705653106837	0 2 132 134 174 176 180 182 222 224 354 356	60747243606
SPT(18)	1033358761900628521	0 22 28 30 52 66 70 88 100 108 120 138 142 156 178 180 186 208	116994765290
SPT(16)	1033359083947082843	0 26 38 44 54 80 110 114 140 144 174 200 210 216 228 254	439041219612
TPT(14)	1033359806335330919	0 2 18 20 90 92 168 170 210 212 252 254 258 260	1161429467688
SPT(16)	1033359859811069603	0 26 30 36 38 66 108 180 224 296 338 366 368 374 378 404	1214905206372