Prime p₀= 463068688612903843 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 8 12 30 18 16 26 58 26 16 18 30 12 8 10 (?)
a_n: 0 10 18 30 60 78 94 120 178 204 220 238 268 280 288 298
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: 298
Found by: vinn@[CNT]
db: batch=70, k=16, 10 8 12 30 18 16 26 58

SPT(16)	463068616815817151	0 66 80 90 96 116 138 168 170 200 222 242 248 258 272 338	-71797086692
SPT(14)	463068633637920943	0 6 24 34 84 100 136 198 234 250 300 310 328 334	-54974982900
SPT(14)	463068659902724413	0 6 10 90 108 126 150 184 208 226 244 324 328 334	-28710179430
TPT(12)	463068661177195859	0 2 30 32 60 62 78 80 90 92 102 104	-27435707984
STPT(10)	463068668342958647	0 2 30 32 72 74 114 116 144 146	-20269945196
SPT(14)	463068672889713413	0 8 20 48 138 144 180 314 350 356 446 474 486 494	-15723190430
TPT(12)	463068703658607281	0 2 6 8 96 98 138 140 198 200 396 398	15045703438
SPT(14)	463068726517752281	0 26 50 68 72 86 90 128 132 146 150 168 192 218	37904848438
SPT(14)	463068734763929009	0 42 50 102 104 144 170 174 200 240 242 294 302 344	46151025166
SPT(14)	463068746021947063	0 6 40 78 118 150 196 270 316 348 388 426 460 466	57409043220
STPT(10)	463068760068712937	0 2 42 44 72 74 102 104 144 146	71455809094