Prime p₀= 917348762929968641 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 12 42 78 42 18 18 42 78 42 12 18 (?)
a_n: 0 18 30 72 150 192 210 228 270 348 390 402 420
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: 420
Found by: Paul
db: batch=76, k=13, 18 12 42 78 42 18

SPT(16)	917347736866126711	0 12 18 36 60 78 126 172 396 442 490 508 532 550 556 568	-1026063841930
STPT(10)	917347802392710551	0 2 30 32 78 80 126 128 156 158	-960537258090
STPT(10)	917347903146334739	0 2 48 50 60 62 72 74 120 122	-859783633902
SPT(16)	917348392974579073	0 16 30 48 60 76 96 100 114 118 138 154 166 184 198 214	-369955389568
STPT(10)	917348626826903651	0 2 30 32 120 122 210 212 240 242	-136103064990
SPT(16)	917348733554628181	0 10 22 52 60 126 160 162 286 288 322 388 396 426 438 448	-29375340460
SPT(16)	917348963833682111	0 8 18 20 62 78 120 128 132 140 182 198 240 242 252 260	200903713470
STPT(10)	917349127753148141	0 2 6 8 18 20 30 32 36 38	364823179500
STPT(10)	917349257369171951	0 2 36 38 78 80 120 122 156 158	494439203310
STPT(10)	917349473374239947	0 2 30 32 42 44 54 56 84 86	710444271306
STPT(10)	917349541907280569	0 2 42 44 90 92 138 140 180 182	778977311928