Prime p₀= 1324782984422740937 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 34 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 120 122 180 182 204 206
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: 206
Found by: stoneageman
db: batch=77, k=12, 2 22 2 58 2 34

SPT(16)	1324782203827171787	0 14 26 80 84 96 104 126 200 222 230 242 246 300 312 326	-780595569150
STPT(10)	1324782480862620047	0 2 90 92 102 104 114 116 204 206	-503560120890
TPT(14)	1324782542306617547	0 2 72 74 102 104 114 116 180 182 264 266 282 284	-442116123390
SPT(16)	1324782597486193009	0 42 90 94 162 168 178 202 240 264 274 280 348 352 400 442	-386936547928
STPT(10)	1324782743575819037	0 2 42 44 72 74 102 104 144 146	-240846921900
SPT(16)	1324782895512599981	0 2 20 42 72 110 210 222 248 260 360 398 428 450 468 470	-88910140956
SPT(16)	1324783034288777677	0 4 6 136 216 292 312 316 360 364 384 460 540 670 672 676	49866036740
SPT(16)	1324783149323118949	0 18 70 102 132 142 172 190 210 228 258 268 298 330 382 400	164900378012
SPT(16)	1324783228912569253	0 28 46 70 84 114 130 148 156 174 190 220 234 258 276 304	244489828316
SPT(20)	1324783565845339679	0 44 50 78 92 122 132 170 182 188 444 450 462 500 510 540 554 582 588 632	581422598742
TPT(14)	1324784190373735079	0 2 42 44 60 62 162 164 228 230 258 260 288 290	1205950994142