Prime p₀= 726760824384336683 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 38 18 42 12 12 58 68 58 12 12 42 18 38 18 (?)
a_n: 0 18 56 74 116 128 140 198 266 324 336 348 390 408 446 464
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: 464
Found by: crashtech
db: batch=73, k=16, 18 38 18 42 12 12 58 68

SPT(16)	726759843183353531	0 18 26 38 48 62 68 110 138 180 186 200 210 222 230 248	-981200983152
SPT(16)	726759923646700267	0 16 24 30 64 70 90 136 174 220 240 246 280 286 294 310	-900737636416
STPT(10)	726760018054685777	0 2 30 32 42 44 54 56 84 86	-806329650906
TPT(14)	726760179471538391	0 2 48 50 90 92 168 170 180 182 186 188 216 218	-644912798292
SPT(16)	726760221756660079	0 28 52 94 132 172 174 178 234 238 240 280 318 360 384 412	-602627676604
STPT(10)	726760352096377589	0 2 12 14 90 92 168 170 180 182	-472287959094
SPT(16)	726760864885186519	0 10 70 78 100 148 168 192 208 232 252 300 322 330 390 400	40500849836
SPT(16)	726761018752749397	0 6 16 36 70 72 76 82 114 120 124 126 160 180 190 196	194368412714
STPT(10)	726761200889061389	0 2 18 20 60 62 102 104 120 122	376504724706
SPT(16)	726761274330278581	0 30 70 102 120 132 142 162 238 258 268 280 298 330 370 400	449945941898
SPT(16)	726761295518398711	0 30 48 82 112 142 162 172 198 208 228 258 288 322 340 370	471134062028