Prime p₀= 2256126206776712843 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 42 2 102 40 26 4 134 4 26 40 102 2 42 24 (?)
a_n: 0 24 66 68 170 210 236 240 374 378 404 444 546 548 590 614
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 614
Found by: JayPi
db: batch=81, k=16, 24 42 2 102 40 26 4 134

STPT(10)	2256125124931714577	0 2 30 32 72 74 114 116 144 146	-1081844998266
STPT(10)	2256125302683931697	0 2 12 14 72 74 132 134 144 146	-904092781146
SPT(16)	2256125538113835497	0 30 32 36 96 102 126 134 162 170 194 200 260 264 266 296	-668662877346
STPT(10)	2256125755871183267	0 2 30 32 42 44 54 56 84 86	-450905529576
SPT(16)	2256125959397800649	0 42 48 80 98 122 132 150 260 278 288 312 330 362 368 410	-247378912194
SPT(16)	2256125960968817759	0 2 78 110 128 138 152 170 222 240 254 264 282 314 390 392	-245807895084
STPT(10)	2256126463456175249	0 2 18 20 30 32 42 44 60 62	256679462406
SPT(16)	2256126527076841267	0 6 24 36 66 72 90 112 114 136 154 160 190 202 220 226	320300128424
SPT(16)	2256126582359274409	0 4 70 82 94 102 142 144 178 180 220 228 240 252 318 322	375582561566
STPT(10)	2256126721026828017	0 2 30 32 42 44 54 56 84 86	514250115174
SPT(16)	2256126832188688153	0 24 28 48 78 90 94 190 198 294 298 310 340 360 364 388	625411975310