Prime p₀= 1011435762042136181 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: cwierzbicki
db: batch=76, k=12, 2 34 2 10 2 28

SPT(16)	1011435228888511913	0 24 38 90 134 140 150 168 170 188 198 204 248 300 314 338	-533153624268
STPT(10)	1011435342610005161	0 2 36 38 78 80 120 122 156 158	-419432131020
STPT(10)	1011435417624305519	0 2 18 20 30 32 42 44 60 62	-344417830662
SPT(18)	1011435494758401389	0 14 18 48 50 62 110 120 140 222 242 252 300 312 314 344 348 362	-267283734792
STPT(10)	1011435580580655017	0 2 12 14 72 74 132 134 144 146	-181461481164
SPT(18)	1011435692224124333	0 36 60 66 80 96 126 206 210 260 264 344 374 390 404 410 434 470	-69818011848
SPT(16)	1011436021941793549	0 12 48 52 54 72 78 82 150 154 160 178 180 184 220 232	259899657368
STPT(10)	1011436129691621729	0 2 18 20 30 32 42 44 60 62	367649485548
SPT(16)	1011436481314260787	0 34 76 90 114 156 186 196 234 244 274 316 340 354 396 430	719272124606
SPT(16)	1011436524331499377	0 42 52 90 96 112 124 172 174 222 234 250 256 294 304 346	762289363196
SPT(16)	1011436546159019353	0 36 70 106 114 150 198 204 220 226 274 310 318 354 388 424	784116883172