Prime p₀= 2565277493040172037 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 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: [SG-2W]Kurzer
db: batch=82, k=12, 2 10 2 16 2 22

STPT(10)	2565274614702503201	0 2 36 38 78 80 120 122 156 158	-2878337668836
STPT(10)	2565275288346826961	0 2 6 8 48 50 90 92 96 98	-2204693345076
SPT(16)	2565275378458595197	0 30 64 76 90 136 150 196 204 250 264 310 324 336 370 400	-2114581576840
STPT(10)	2565277067058528239	0 2 18 20 30 32 42 44 60 62	-425981643798
SPT(16)	2565277123208739869	0 18 44 68 74 128 158 164 174 180 210 264 270 294 320 338	-369831432168
STPT(12)	2565277235365152419	0 2 12 14 72 74 150 152 210 212 222 224	-257675019618
SPT(16)	2565278190986372143	0 6 46 60 64 76 94 148 156 210 228 240 244 258 298 304	697946200106
SPT(16)	2565278335412292713	0 20 24 44 68 78 114 120 308 314 350 360 384 404 408 428	842372120676
STPT(10)	2565278916129643067	0 2 54 56 72 74 90 92 144 146	1423089471030
SPT(16)	2565278921939818003	0 24 34 40 54 66 84 90 154 160 178 190 204 210 220 244	1428899645966
STPT(10)	2565279003218875421	0 2 30 32 78 80 126 128 156 158	1510178703384