Prime p₀= 2589596516629164769 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 2 12 16 2 42 46 14 46 42 2 16 12 2 58 (?)
a_n: 0 58 60 72 88 90 132 178 192 238 280 282 298 310 312 370
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: 370
Found by: fzs600
db: batch=82, k=16, 58 2 12 16 2 42 46 14

SPT(16)	2589594551284235353	0 18 24 60 94 108 118 144 244 270 280 294 328 364 370 388	-1965344929416
SPT(16)	2589595105926518699	0 8 32 72 92 140 182 230 270 318 360 408 428 468 492 500	-1410702646070
STPT(10)	2589595355132834999	0 2 18 20 30 32 42 44 60 62	-1161496329770
STPT(10)	2589595817302500659	0 2 72 74 120 122 168 170 240 242	-699326664110
SPT(16)	2589595935891449077	0 6 52 90 136 150 172 202 204 234 256 270 316 354 400 406	-580737715692
SPT(16)	2589596378934359503	0 18 48 66 106 114 118 130 174 186 190 198 238 256 286 304	-137694805266
SPT(16)	2589596683287268661	0 12 42 56 86 116 122 158 180 216 222 252 282 296 326 338	166658103892
STPT(10)	2589596869695653297	0 2 30 32 42 44 54 56 84 86	353066488528
SPT(18)	2589596912920391567	0 26 50 102 110 140 162 174 176 180 182 194 216 246 254 306 330 356	396291226798
STPT(10)	2589597119339103371	0 2 36 38 78 80 120 122 156 158	602709938602
SPT(16)	2589597129478549319	0 54 62 122 128 132 224 254 258 288 380 384 390 450 458 512	612849384550