Prime p₀= 89173396526114633 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 4 18 44 4 32 52 32 4 44 18 4 14 (?)
a_n: 0 14 18 36 80 84 116 168 200 204 248 266 270 284
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: bluestick.eu
db: batch=67, k=14, 14 4 18 44 4 32 52

SPT(14)	89173331909297507	0 44 56 60 102 126 156 170 200 224 266 270 282 326	-64616817126
TPT(12)	89173333860483527	0 2 30 32 72 74 90 92 210 212 222 224	-62665631106
SPT(14)	89173345494855289	0 24 30 40 70 78 100 162 184 192 222 232 238 262	-51031259344
STPT(10)	89173353911123927	0 2 30 32 42 44 54 56 84 86	-42614990706
SPT(16)	89173359732572329	0 30 58 100 130 144 162 168 184 190 208 222 252 294 322 352	-36793542304
SPT(14)	89173384398241769	0 30 84 98 138 170 204 338 372 404 444 458 512 542	-12127872864
SPT(16)	89173407952427509	0 28 34 42 72 138 142 172 210 240 244 310 340 348 354 382	11426312876
SPT(14)	89173443123066941	0 20 66 72 78 90 116 132 158 170 176 182 228 248	46596952308
SPT(14)	89173445467842467	0 36 42 56 84 114 174 182 242 272 300 314 320 356	48941727834
SPT(14)	89173462201290953	0 68 80 90 114 140 156 188 204 230 254 264 276 344	65675176320
SPT(14)	89173478946751501	0 12 40 58 60 66 100 108 142 148 150 168 196 208	82420636868