Prime p₀= 1277898288321048041 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 36 24 12 30 54 30 30 54 30 12 24 36 (?)
a_n: 0 36 60 72 102 156 186 216 270 300 312 336 372
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 372
Found by: Egon olsen
db: batch=77, k=13, 36 24 12 30 54 30

SPT(16)	1277896677923128807	0 82 144 150 154 162 190 220 246 276 304 312 316 322 384 466	-1610397919234
SPT(18)	1277896762471550911	0 16 18 60 118 126 160 172 228 340 396 408 442 450 508 550 552 568	-1525849497130
SPT(18)	1277897049947518901	0 6 18 90 98 102 108 140 176 192 228 260 266 270 278 350 362 368	-1238373529140
STPT(10)	1277897752562537537	0 2 30 32 72 74 114 116 144 146	-535758510504
SPT(16)	1277897876524741489	0 24 40 70 72 124 150 220 222 292 318 370 372 402 418 442	-411796306552
TPT(14)	1277898195705711299	0 2 150 152 210 212 408 410 432 434 462 464 492 494	-92615336742
SPT(16)	1277898475884950537	0 2 24 60 66 72 90 92 114 116 134 140 146 182 204 206	187563902496
TPT(14)	1277898513618009497	0 2 84 86 102 104 132 134 264 266 300 302 324 326	225296961456
SPT(13)	1277898802545718499	0 12 24 54 60 180 222 264 384 390 420 432 444	514224670458
STPT(10)	1277899162503598001	0 2 6 8 48 50 90 92 96 98	874182549960
STPT(10)	1277899170590310509	0 2 42 44 90 92 138 140 180 182	882269262468