Prime p₀= 1337434861823398937 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 160 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 222 224 252 254 282 284
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: 284
Found by: Theadalus
db: batch=77, k=12, 2 28 2 28 2 160

SPT(16)	1337433440091672251	0 20 56 72 108 132 170 188 300 318 356 380 416 432 468 488	-1421731726686
STPT(10)	1337433617218647797	0 2 30 32 60 62 90 92 120 122	-1244604751140
SPT(16)	1337434344513937409	0 20 48 60 98 108 110 122 168 180 182 192 230 242 270 290	-517309461528
TPT(14)	1337434517417166137	0 2 12 14 30 32 102 104 270 272 294 296 342 344	-344406232800
SPT(16)	1337434522468459823	0 14 44 74 84 126 150 206 234 290 314 356 366 396 426 440	-339354939114
SPT(16)	1337434610746312009	0 12 42 60 70 84 120 142 150 172 208 222 232 250 280 292	-251077086928
SPT(16)	1337435008408821901	0 10 18 66 76 90 106 112 186 192 208 222 232 280 288 298	146585422964
SPT(16)	1337435159842415701	0 12 22 48 78 88 90 112 138 160 162 172 202 228 238 250	298019016764
SPT(16)	1337435288793940397	0 14 20 26 116 132 152 162 164 174 194 210 300 306 312 326	426970541460
SPT(16)	1337435348520484093	0 18 30 34 70 126 168 184 210 226 268 324 360 364 376 394	486697085156
STPT(10)	1337436343993953167	0 2 30 32 42 44 54 56 84 86	1482170554230