Prime p₀= 2365198910050345427 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: MarkRBright
db: batch=81, k=12, 2 40 2 16 2 22

STPT(10)	2365197541339764827	0 2 174 176 192 194 210 212 384 386	-1368710580600
STPT(10)	2365197942539889551	0 2 6 8 48 50 90 92 96 98	-967510455876
SPT(16)	2365197993026774407	0 6 12 24 34 42 46 102 154 210 214 222 232 244 250 256	-917023571020
STPT(10)	2365198125656331521	0 2 6 8 108 110 210 212 216 218	-784394013906
TPT(14)	2365198407727889429	0 2 42 44 78 80 150 152 192 194 222 224 252 254	-502322455998
STPT(10)	2365198666400581379	0 2 18 20 30 32 42 44 60 62	-243649764048
SPT(16)	2365199128163743987	0 52 66 82 90 112 136 162 250 276 300 322 330 346 360 412	218113398560
STPT(12)	2365199362629232469	0 2 42 44 60 62 72 74 90 92 132 134	452578887042
SPT(16)	2365199850712935913	0 6 28 34 40 46 154 160 174 180 288 294 300 306 328 334	940662590486
STPT(12)	2365200124571184167	0 2 24 26 114 116 120 122 210 212 234 236	1214520838740
SPT(16)	2365200179955642629	0 32 74 80 158 188 230 252 290 312 354 384 462 468 510 542	1269905297202