Prime p₀= 2316539140523812441 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 22 2 16 8 34 8 22 8 34 8 16 2 22 18 (?)
a_n: 0 18 40 42 58 66 100 108 130 138 172 180 196 198 220 238
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: 238
Found by: JonS
db: batch=81, k=16, 18 22 2 16 8 34 8 22

SPT(16)	2316538555449178187	0 36 66 80 96 110 116 140 222 246 252 266 282 296 326 362	-585074634254
SPT(16)	2316538620809792387	0 26 60 66 74 86 110 164 186 240 264 276 284 290 324 350	-519714020054
TPT(14)	2316538781210071421	0 2 120 122 150 152 180 182 276 278 306 308 330 332	-359313741020
STPT(10)	2316538947086330567	0 2 42 44 72 74 102 104 144 146	-193437481874
STPT(10)	2316539019821483801	0 2 36 38 78 80 120 122 156 158	-120702328640
STPT(10)	2316539128158743627	0 2 42 44 72 74 102 104 144 146	-12365068814
SPT(16)	2316539293332860879	0 2 8 24 38 48 50 162 260 372 374 384 398 414 420 422	152809048438
STPT(10)	2316539468582751749	0 2 30 32 120 122 210 212 240 242	328058939308
SPT(16)	2316539796610842193	0 10 30 40 46 48 54 76 108 130 136 138 144 154 174 184	656087029752
SPT(16)	2316539910114025021	0 40 60 76 82 88 90 132 136 178 180 186 192 208 228 268	769590212580
SPT(16)	2316540175225849513	0 28 30 58 78 106 124 150 154 180 198 226 246 274 276 304	1034702037072