Prime p₀= 2589596378934359503 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 30 18 40 8 4 12 44 12 4 8 40 18 30 18 (?)
a_n: 0 18 48 66 106 114 118 130 174 186 190 198 238 256 286 304
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: 304
Found by: fzs600
db: batch=82, k=16, 18 30 18 40 8 4 12 44

SPT(16)	2589594412364737681	0 30 36 106 150 186 190 192 226 228 232 268 312 382 388 418	-1966569621822
SPT(16)	2589594551284235353	0 18 24 60 94 108 118 144 244 270 280 294 328 364 370 388	-1827650124150
SPT(16)	2589595105926518699	0 8 32 72 92 140 182 230 270 318 360 408 428 468 492 500	-1273007840804
STPT(10)	2589595355132834999	0 2 18 20 30 32 42 44 60 62	-1023801524504
STPT(10)	2589595817302500659	0 2 72 74 120 122 168 170 240 242	-561631858844
SPT(16)	2589595935891449077	0 6 52 90 136 150 172 202 204 234 256 270 316 354 400 406	-443042910426
SPT(16)	2589596516629164769	0 58 60 72 88 90 132 178 192 238 280 282 298 310 312 370	137694805266
SPT(16)	2589596683287268661	0 12 42 56 86 116 122 158 180 216 222 252 282 296 326 338	304352909158
STPT(10)	2589596869695653297	0 2 30 32 42 44 54 56 84 86	490761293794
SPT(18)	2589596912920391567	0 26 50 102 110 140 162 174 176 180 182 194 216 246 254 306 330 356	533986032064
STPT(10)	2589597119339103371	0 2 36 38 78 80 120 122 156 158	740404743868