Prime p₀= 737227065496390129 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 34 6 8 24 10 68 88 6 14 6 88 68 10 24 8 6 34 (?)
a_n: 0 34 40 48 72 82 150 238 244 258 264 352 420 430 454 462 468 502
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: 502
Found by: WTBroughton
db: batch=73, k=18, 34 6 8 24 10 68 88 6 14

SPT(16)	737225151327302653	0 16 58 60 78 94 130 156 178 204 240 256 274 276 318 334	-1914169087476
TPT(14)	737225526618476939	0 2 30 32 42 44 108 110 192 194 198 200 222 224	-1538877913190
SPT(16)	737225973733043167	0 6 10 16 36 72 112 120 142 150 190 226 246 252 256 262	-1091763346962
SPT(16)	737226225687300977	0 84 90 92 110 122 134 140 144 150 162 174 192 194 200 284	-839809089152
STPT(10)	737227008307893419	0 2 42 44 120 122 198 200 240 242	-57188496710
SPT(16)	737227025314229689	0 24 30 52 64 114 120 154 180 214 220 270 282 304 310 334	-40182160440
SPT(16)	737227362333146879	0 42 50 60 68 120 138 150 152 164 182 234 242 252 260 302	296836756750
STPT(10)	737227464313295897	0 2 30 32 42 44 54 56 84 86	398816905768
SPT(16)	737227848037908431	0 8 80 138 162 180 210 242 246 278 308 326 350 408 480 488	782541518302
STPT(10)	737227970865071141	0 2 30 32 78 80 126 128 156 158	905368681012
SPT(16)	737228046557992571	0 36 50 110 128 140 158 206 240 288 306 318 336 396 410 446	981061602442