Prime p₀= 429623880298311131 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 44 16 14 4 32 34 32 4 14 16 44 12 (?)
a_n: 0 12 56 72 86 90 122 156 188 192 206 222 266 278
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: 278
Found by: arkiss
db: batch=70, k=14, 12 44 16 14 4 32 34

SPT(14)	429623821242603301	0 6 12 30 40 112 118 150 156 228 238 256 262 268	-59055707830
TPT(12)	429623848450573349	0 2 18 20 42 44 72 74 138 140 180 182	-31847737782
TPT(12)	429623863218208667	0 2 54 56 84 86 192 194 204 206 222 224	-17080102464
TPT(12)	429623866140633551	0 2 48 50 156 158 186 188 246 248 270 272	-14157677580
SPT(16)	429623872309037257	0 4 22 24 34 54 70 102 154 186 202 222 232 234 252 256	-7989273874
TPT(12)	429623875990501781	0 2 30 32 96 98 120 122 210 212 288 290	-4307809350
TPT(12)	429623881901491547	0 2 54 56 90 92 174 176 180 182 282 284	1603180416
SPT(16)	429623886320288237	0 30 36 102 116 144 146 162 224 240 242 270 284 350 356 386	6021977106
SPT(14)	429623895948775279	0 48 78 90 120 162 168 174 180 222 252 264 294 342	15650464148
SPT(14)	429623897674571779	0 48 58 64 70 72 90 112 130 132 138 144 154 202	17376260648
TPT(12)	429623904074068199	0 2 18 20 42 44 72 74 192 194 222 224	23775757068