Prime p₀= 578527575883306097 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 20 18 22 8 6 10 6 8 22 18 20 6 (?)
a_n: 0 6 26 44 66 74 80 90 96 104 126 144 164 170
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: 170
Found by: mcf2020
db: batch=71, k=14, 6 20 18 22 8 6 10

SPT(16)	578527508977892231	0 30 32 72 86 90 116 132 140 156 182 186 200 240 242 272	-66905413866
SPT(14)	578527512956774551	0 10 42 52 76 108 112 126 130 162 186 196 228 238	-62926531546
SPT(14)	578527523751332999	0 30 42 74 78 114 120 152 158 194 198 230 242 272	-52131973098
SPT(14)	578527533280654333	0 24 28 84 88 94 124 180 210 216 220 276 280 304	-42602651764
SPT(14)	578527563503806381	0 10 22 40 78 82 90 100 108 112 150 168 180 190	-12379499716
SPT(14)	578527563977057411	0 38 56 68 96 120 140 216 236 260 288 300 318 356	-11906248686
SPT(14)	578527586049272767	0 4 42 52 90 162 174 190 202 274 312 322 360 364	10165966670
TPT(12)	578527589749562441	0 2 6 8 60 62 216 218 228 230 240 242	13866256344
STPT(10)	578527622414998349	0 2 18 20 30 32 42 44 60 62	46531692252
SPT(14)	578527632955163753	0 36 44 54 56 86 168 206 288 318 320 330 338 374	57071857656
SPT(14)	578527649536692431	0 38 42 80 86 90 108 140 158 162 168 206 210 248	73653386334