Prime p₀= 1588899474829054667 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 24 4 30 6 36 20 22 20 36 6 30 4 24 2 (?)
a_n: 0 2 26 30 60 66 102 122 144 164 200 206 236 240 264 266
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: 266
Found by: emoga
db: batch=78, k=16, 2 24 4 30 6 36 20 22

SPT(16)	1588898581521566191	0 28 42 52 90 108 112 126 142 156 160 178 216 226 240 268	-893307488476
STPT(10)	1588898889072821267	0 2 30 32 42 44 54 56 84 86	-585756233400
SPT(16)	1588899119839845089	0 2 42 110 182 188 198 222 290 314 324 330 402 470 510 512	-354989209578
TPT(14)	1588899324394799057	0 2 54 56 114 116 132 134 222 224 252 254 300 302	-150434255610
SPT(16)	1588899347632647049	0 10 30 48 54 60 70 114 154 198 208 214 220 238 258 268	-127196407618
SPT(16)	1588899442551879109	0 18 42 58 70 88 100 150 172 222 234 252 264 280 304 322	-32277175558
SPT(16)	1588899496982609423	0 56 68 78 98 134 156 176 198 218 240 276 296 306 318 374	22153554756
SPT(16)	1588899561352558319	0 8 44 72 74 104 128 132 170 174 198 228 230 258 294 302	86523503652
STPT(10)	1588899830050474691	0 2 36 38 78 80 120 122 156 158	355221420024
STPT(10)	1588899850715049239	0 2 12 14 90 92 168 170 180 182	375885994572
TPT(14)	1588900053085904981	0 2 30 32 78 80 90 92 288 290 396 398 426 428	578256850314