Prime p₀= 2239196728807526039 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 40 2 64 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 168 170 210 212 270 272
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: 272
Found by: JayPi
db: batch=81, k=12, 2 58 2 40 2 64

SPT(16)	2239194692453885921	0 68 80 122 146 152 248 258 410 420 516 522 546 588 600 668	-2036353640118
STPT(10)	2239194996359051741	0 2 48 50 108 110 168 170 216 218	-1732448474298
SPT(16)	2239195180043496581	0 26 36 48 56 90 110 140 216 246 266 300 308 320 330 356	-1548764029458
SPT(16)	2239195611548027281	0 36 70 78 90 112 172 190 198 216 276 298 310 318 352 388	-1117259498758
SPT(16)	2239195647472154611	0 10 22 70 76 78 100 106 162 168 190 192 198 246 258 268	-1081335371428
SPT(16)	2239196013012066679	0 4 30 60 72 202 204 214 228 238 240 370 382 412 438 442	-715795459360
SPT(16)	2239197102515127341	0 48 80 192 200 228 266 300 308 342 380 408 416 528 560 608	373707601302
STPT(10)	2239197277542215831	0 2 36 38 78 80 120 122 156 158	548734689792
STPT(10)	2239197563931752927	0 2 24 26 42 44 60 62 84 86	835124226888
SPT(16)	2239197621540536429	0 48 92 104 108 168 180 192 290 302 314 374 378 390 434 482	892733010390
STPT(10)	2239197669272784677	0 2 30 32 72 74 114 116 144 146	940465258638