Prime p₀= 1123371563877039569 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 44 6 24 40 26 12 12 16 2 16 12 12 26 40 24 6 44 (?)
a_n: 0 44 50 74 114 140 152 164 180 182 198 210 222 248 288 312 318 362
All 18 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: Theadalus
db: batch=76, k=18, 44 6 24 40 26 12 12 16 2

SPT(16)	1123370105999794673	0 66 108 138 140 150 170 198 236 264 284 294 296 326 368 434	-1457877244896
STPT(10)	1123370326715377547	0 2 72 74 102 104 132 134 204 206	-1237161662022
SPT(16)	1123370356484777299	0 12 40 72 78 82 118 132 148 162 198 202 208 240 268 280	-1207392262270
SPT(16)	1123370931171216997	0 36 76 126 154 162 174 190 216 232 244 252 280 330 370 406	-632705822572
SPT(16)	1123371032706202009	0 22 34 42 58 60 72 88 174 190 202 204 220 228 240 262	-531170837560
SPT(16)	1123371151419973319	0 14 24 62 80 138 174 180 182 188 224 282 300 338 348 362	-412457066250
STPT(10)	1123371729114519887	0 2 30 32 60 62 90 92 120 122	165237480318
SPT(16)	1123371853157649299	0 18 32 50 68 138 152 162 218 228 242 312 330 348 362 380	289280609730
SPT(16)	1123371999388977661	0 58 78 82 96 148 156 166 222 232 240 292 306 310 330 388	435511938092
SPT(16)	1123372063479273653	0 78 96 126 128 134 138 146 198 206 210 216 218 248 266 344	499602234084
STPT(10)	1123372116725085581	0 2 6 8 48 50 90 92 96 98	552848046012