Prime p₀= 1343449130037913439 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 16 2 130 2 16 2 58 2 (?)
a_n: 0 2 60 62 78 80 210 212 228 230 288 290
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: 290
Found by: Skivelitis2
db: batch=77, k=12, 2 58 2 16 2 130

SPT(16)	1343447262676552279	0 42 108 148 154 162 234 250 402 418 490 498 504 544 610 652	-1867361361160
SPT(16)	1343448085118658523	0 6 64 78 114 120 174 180 184 190 244 250 286 300 358 364	-1044919254916
STPT(10)	1343448148897845827	0 2 42 44 72 74 102 104 144 146	-981140067612
STPT(10)	1343448165975582167	0 2 12 14 72 74 132 134 144 146	-964062331272
STPT(10)	1343448199311242579	0 2 78 80 120 122 162 164 240 242	-930726670860
TPT(14)	1343448904265167487	0 2 30 32 54 56 210 212 240 242 294 296 324 326	-225772745952
STPT(10)	1343449178848246241	0 2 36 38 78 80 120 122 156 158	48810332802
TPT(14)	1343449254326477339	0 2 72 74 138 140 192 194 198 200 222 224 252 254	124288563900
TPT(14)	1343449297414337129	0 2 30 32 78 80 162 164 228 230 282 284 300 302	167376423690
STPT(10)	1343449323698621987	0 2 12 14 42 44 72 74 84 86	193660708548
STPT(10)	1343449400048487827	0 2 30 32 42 44 54 56 84 86	270010574388