Prime p₀= 1253163671697921209 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 34 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 78 80 90 92 120 122
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: 122
Found by: HenkM
db: batch=77, k=12, 2 28 2 10 2 34

SPT(16)	1253162550384161689	0 4 10 12 18 24 48 60 202 214 238 244 250 252 258 262	-1121313759520
SPT(16)	1253162786444432813	0 50 56 78 120 204 224 230 264 270 290 374 416 438 444 494	-885253488396
SPT(16)	1253162922981948697	0 4 60 96 160 174 190 210 250 270 286 300 364 400 456 460	-748715972512
SPT(16)	1253163188461229009	0 30 32 44 68 110 164 194 228 258 312 354 378 390 392 422	-483236692200
SPT(16)	1253163397229660999	0 8 18 38 104 108 150 174 218 242 284 288 354 374 384 392	-274468260210
SPT(16)	1253163423123750647	0 14 56 60 80 90 176 194 216 234 320 330 350 354 396 410	-248574170562
SPT(16)	1253163967460319403	0 88 108 124 136 154 156 178 186 208 210 228 240 256 276 364	295762398194
SPT(16)	1253164066509959561	0 66 90 140 152 168 270 272 276 278 380 396 408 458 482 548	394812038352
SPT(16)	1253164165421809733	0 14 24 36 56 80 120 156 164 200 240 264 284 296 306 320	493723888524
SPT(16)	1253164185509381251	0 10 30 60 66 78 88 96 112 120 130 142 148 178 198 208	513811460042
STPT(10)	1253164211388415397	0 2 30 32 42 44 54 56 84 86	539690494188