Prime p₀= 51688902616951931 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 12 42 56 22 38 4 38 22 56 42 12 36 (?)
a_n: 0 36 48 90 146 168 206 210 248 270 326 368 380 416
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: 416
Found by: ChelseaOilman
db: batch=65, k=14, 36 12 42 56 22 38 4

SPT(14)	51688835010753007	0 22 30 42 64 82 112 114 144 162 184 196 204 226	-67606198924
SPT(14)	51688846495481911	0 58 72 88 130 148 162 226 240 258 300 316 330 388	-56121470020
SPT(14)	51688853035824187	0 16 40 42 82 102 106 120 124 144 184 186 210 226	-49581127744
SPT(14)	51688864713454223	0 8 30 54 56 68 110 114 156 168 170 194 216 224	-37903497708
SPT(14)	51688879230934369	0 42 48 78 84 198 222 240 264 378 384 414 420 462	-23386017562
SPT(14)	51688894423550227	0 6 54 114 160 204 246 250 292 336 382 442 490 496	-8193401704
SPT(14)	51688905792520463	0 48 60 78 90 150 210 224 284 344 356 374 386 434	3175568532
SPT(14)	51688925058358681	0 16 30 46 78 100 112 186 198 220 252 268 282 298	22441406750
SPT(14)	51688941965197687	0 16 40 54 72 94 132 184 222 244 262 276 300 316	39348245756
SPT(16)	51688946829101531	0 26 32 56 68 102 138 140 228 230 266 300 312 336 342 368	44212149600
SPT(14)	51688958930356087	0 16 42 60 70 82 124 162 204 216 226 244 270 286	56313404156