Prime p₀= 393771944682853741 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 78 24 16 14 64 12 2 12 64 14 16 24 78 (?)
a_n: 0 78 102 118 132 196 208 210 222 286 300 316 340 418
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 418
Found by: Cruncher Pete
db: batch=70, k=14, 78 24 16 14 64 12 2

SPT(14)	393771841154016791	0 12 30 50 72 78 162 218 302 308 330 350 368 380	-103528836950
SPT(14)	393771877348677287	0 42 102 132 146 176 194 342 360 390 404 434 494 536	-67334176454
TPT(12)	393771880640398079	0 2 30 32 138 140 162 164 222 224 252 254	-64042455662
SPT(14)	393771881228865991	0 18 40 48 76 106 118 180 192 222 250 258 280 298	-63453987750
SPT(14)	393771928911978349	0 10 22 24 40 64 78 94 108 132 148 150 162 172	-15770875392
SPT(14)	393771942742639753	0 4 34 36 84 88 160 174 246 250 298 300 330 334	-1940213988
TPT(12)	393771952741839167	0 2 12 14 60 62 114 116 192 194 234 236	8058985426
SPT(14)	393771954660464329	0 10 52 54 60 70 82 132 144 154 160 162 204 214	9977610588
TPT(12)	393771955511152109	0 2 48 50 78 80 90 92 108 110 138 140	10828298368
SPT(14)	393771961757587697	0 6 56 72 110 144 162 194 212 246 284 300 350 356	17074733956
SPT(14)	393771970360659581	0 26 32 56 108 126 152 276 302 320 372 396 402 428	25677805840