Prime p₀= 578527523751332999 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 12 32 4 36 6 32 6 36 4 32 12 30 (?)
a_n: 0 30 42 74 78 114 120 152 158 194 198 230 242 272
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: 272
Found by: mcf2020
db: batch=71, k=14, 30 12 32 4 36 6 32

SPT(14)	578527460980855783	0 18 46 90 96 106 126 130 150 160 166 210 238 256	-62770477216
SPT(14)	578527478754381329	0 18 20 38 42 50 90 92 132 140 144 162 164 182	-44996951670
SPT(14)	578527495800196721	0 72 102 122 140 146 182 276 312 318 336 356 386 458	-27951136278
STPT(10)	578527500240583709	0 2 12 14 30 32 48 50 60 62	-23510749290
SPT(16)	578527508977892231	0 30 32 72 86 90 116 132 140 156 182 186 200 240 242 272	-14773440768
SPT(14)	578527512956774551	0 10 42 52 76 108 112 126 130 162 186 196 228 238	-10794558448
SPT(14)	578527533280654333	0 24 28 84 88 94 124 180 210 216 220 276 280 304	9529321334
SPT(14)	578527563503806381	0 10 22 40 78 82 90 100 108 112 150 168 180 190	39752473382
SPT(14)	578527563977057411	0 38 56 68 96 120 140 216 236 260 288 300 318 356	40225724412
SPT(14)	578527575883306097	0 6 26 44 66 74 80 90 96 104 126 144 164 170	52131973098
SPT(14)	578527586049272767	0 4 42 52 90 162 174 190 202 274 312 322 360 364	62297939768