Prime p₀= 2425403419115578919 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 18 26 4 26 12 64 14 64 12 26 4 26 18 24 (?)
a_n: 0 24 42 68 72 98 110 174 188 252 264 290 294 320 338 362
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: 362
Found by: Roadranner
db: batch=82, k=16, 24 18 26 4 26 12 64 14

SPT(16)	2425402311354825617	0 2 72 80 110 114 132 162 392 422 440 444 474 482 552 554	-1107760753302
STPT(10)	2425402662063241829	0 2 48 50 90 92 132 134 180 182	-757052337090
STPT(10)	2425402954340448791	0 2 36 38 78 80 120 122 156 158	-464775130128
SPT(16)	2425403047062969359	0 12 38 78 80 92 128 140 180 192 228 240 242 282 308 320	-372052609560
SPT(16)	2425403084354050459	0 54 84 148 150 180 214 240 262 288 322 352 354 418 448 502	-334761528460
SPT(16)	2425403254508703277	0 46 64 162 190 210 222 232 264 274 286 306 334 432 450 496	-164606875642
STPT(10)	2425403831928999917	0 2 30 32 72 74 114 116 144 146	412813420998
SPT(16)	2425403866736631919	0 28 40 78 112 118 132 160 180 208 222 228 262 300 312 340	447621053000
SPT(16)	2425403964069268153	0 4 24 30 58 70 88 108 136 156 174 186 214 220 240 244	544953689234
STPT(10)	2425404005486145779	0 2 18 20 30 32 42 44 60 62	586370566860
SPT(16)	2425404135835598693	0 6 20 114 144 146 156 158 306 308 318 320 350 444 458 464	716720019774