Prime p₀= 2356645282638785167 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 64 38 10 18 42 18 14 46 86 46 14 18 42 18 10 38 64 (?)
a_n: 0 64 102 112 130 172 190 204 250 336 382 396 414 456 474 484 522 586
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: 586
Found by: kashi
db: batch=81, k=18, 64 38 10 18 42 18 14 46 86

SPT(16)	2356643355817019917	0 6 22 46 64 126 154 160 216 222 250 312 330 354 370 376	-1926821765250
SPT(16)	2356643534024616743	0 18 26 36 54 78 84 86 168 170 176 200 218 228 236 254	-1748614168424
STPT(10)	2356644626492538269	0 2 18 20 30 32 42 44 60 62	-656146246898
SPT(16)	2356644669083130089	0 42 72 104 114 122 164 174 188 198 240 248 258 290 320 362	-613555655078
SPT(16)	2356644898392283241	0 18 26 32 86 96 108 110 198 200 212 222 276 282 290 308	-384246501926
STPT(10)	2356644977439457907	0 2 42 44 72 74 102 104 144 146	-305199327260
SPT(16)	2356645351977209149	0 10 30 72 174 184 192 198 244 250 258 268 370 412 432 442	69338423982
SPT(16)	2356645457436116111	0 38 56 116 122 168 182 222 446 486 500 546 552 612 630 668	174797330944
SPT(16)	2356646064095629421	0 8 38 42 48 66 90 92 96 98 122 140 146 150 180 188	781456844254
TPT(14)	2356646464452444257	0 2 30 32 120 122 144 146 174 176 210 212 240 242	1181813659090
SPT(16)	2356646553030134381	0 30 38 48 56 66 128 156 200 228 290 300 308 318 326 356	1270391349214