Prime p₀= 1174807692553140431 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 28 2 118 2 28 2 58 2 (?)
a_n: 0 2 60 62 90 92 210 212 240 242 300 302
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: 302
Found by: Theadalus
db: batch=77, k=12, 2 58 2 28 2 118

SPT(16)	1174806267002590067	0 26 30 72 74 110 132 146 150 164 186 222 224 266 270 296	-1425550550364
STPT(10)	1174806392014255841	0 2 36 38 78 80 120 122 156 158	-1300538884590
TPT(14)	1174806661473968561	0 2 36 38 96 98 150 152 306 308 318 320 348 350	-1031079171870
SPT(16)	1174806699498834767	0 50 54 84 92 150 176 222 224 270 296 354 362 392 396 446	-993054305664
STPT(10)	1174807302092801747	0 2 30 32 42 44 54 56 84 86	-390460338684
TPT(14)	1174807659906928961	0 2 6 8 18 20 138 140 198 200 210 212 240 242	-32646211470
SPT(16)	1174807953997437619	0 4 30 60 70 88 94 100 138 144 150 168 178 208 234 238	261444297188
STPT(10)	1174808253035890397	0 2 12 14 42 44 72 74 84 86	560482749966
SPT(16)	1174808400116085113	0 14 30 74 84 108 140 150 158 168 200 224 234 278 294 308	707562944682
SPT(20)	1174808954574865843	0 16 28 60 76 78 88 100 136 150 154 168 204 216 226 228 244 276 288 304	1262021725412
SPT(16)	1174809241633404151	0 42 60 106 108 150 172 210 238 276 298 340 342 388 406 448	1549080263720