Prime p₀= 2148651076650539749 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 56 12 52 18 6 20 16 20 6 18 52 12 56 4 (?)
a_n: 0 4 60 72 124 142 148 168 184 204 210 228 280 292 348 352
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: 352
Found by: JayPi
db: batch=81, k=16, 4 56 12 52 18 6 20 16

SPT(16)	2148649048699555097	0 2 24 72 152 156 176 192 194 210 230 234 314 362 384 386	-2027950984652
STPT(10)	2148649593454355021	0 2 30 32 60 62 90 92 120 122	-1483196184728
TPT(14)	2148649968212100317	0 2 24 26 72 74 180 182 240 242 354 356 360 362	-1108438439432
STPT(12)	2148650139198319487	0 2 24 26 42 44 132 134 150 152 174 176	-937452220262
STPT(10)	2148650173697876111	0 2 6 8 48 50 90 92 96 98	-902952663638
STPT(10)	2148650896869881177	0 2 54 56 72 74 90 92 144 146	-179780658572
SPT(16)	2148651110657515531	0 22 36 40 72 100 156 162 166 172 228 256 288 292 306 328	34006975782
SPT(16)	2148651202531644647	0 2 20 114 152 162 200 282 284 366 404 414 452 546 564 566	125881104898
SPT(16)	2148651257000490211	0 6 58 90 106 160 168 198 208 238 246 300 316 348 400 406	180349950462
TPT(14)	2148651629429576177	0 2 12 14 54 56 60 62 90 92 132 134 210 212	552779036428
SPT(16)	2148651724760360333	0 30 38 98 128 138 150 156 230 236 248 258 288 348 356 386	648109820584