Prime p₀= 2260124941372709837 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=12, 2 22 2 4 2 22

STPT(10)	2260123748749670777	0 2 30 32 42 44 54 56 84 86	-1192623039060
SPT(16)	2260123970712141109	0 10 70 72 78 102 114 118 144 148 160 184 190 192 252 262	-970660568728
SPT(16)	2260124049023831681	0 12 18 56 60 98 108 116 132 140 150 188 192 230 236 248	-892348878156
STPT(10)	2260124075272654697	0 2 12 14 42 44 72 74 84 86	-866100055140
SPT(16)	2260124079722976629	0 8 32 38 54 84 110 122 180 192 218 248 264 270 294 302	-861649733208
SPT(16)	2260124877267069497	0 14 20 62 80 90 174 194 222 242 326 336 354 396 402 416	-64105640340
STPT(10)	2260124967948397337	0 2 12 14 72 74 132 134 144 146	26575687500
STPT(10)	2260125128285741147	0 2 30 32 72 74 114 116 144 146	186913031310
SPT(16)	2260125304025033981	0 2 42 60 90 158 182 188 210 216 240 308 338 356 396 398	362652324144
SPT(16)	2260125446408168909	0 140 150 170 188 194 234 248 264 278 318 324 342 362 372 512	505035459072
SPT(16)	2260125465928295759	0 14 68 92 122 192 204 212 300 308 320 390 420 444 498 512	524555585922