Prime p₀= 2401926623180185859 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 10 2 46

SPT(16)	2401925629211854129	0 18 24 28 48 60 70 88 90 108 118 130 150 154 160 178	-993968331730
SPT(16)	2401925656902700567	0 72 100 172 190 262 270 282 352 364 372 444 462 534 562 634	-966277485292
SPT(16)	2401926050983862761	0 12 30 40 52 72 108 112 138 142 178 198 210 220 238 250	-572196323098
STPT(10)	2401926277878587651	0 2 36 38 78 80 120 122 156 158	-345301598208
STPT(10)	2401926386880105257	0 2 30 32 42 44 54 56 84 86	-236300080602
SPT(16)	2401926553129825741	0 22 60 76 82 96 106 126 166 186 196 210 216 232 270 292	-70050360118
STPT(10)	2401926788163693611	0 2 6 8 18 20 30 32 36 38	164983507752
SPT(16)	2401926984627491033	0 6 44 98 150 174 186 240 284 338 350 374 426 480 518 524	361447305174
SPT(16)	2401927006392026171	0 32 62 92 120 126 186 188 240 242 302 308 336 366 396 428	383211840312
TPT(14)	2401927020450067931	0 2 36 38 60 62 78 80 120 122 228 230 300 302	397269882072
STPT(10)	2401927120103133767	0 2 60 62 72 74 84 86 144 146	496922947908