Prime p₀= 11467144227312971 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 6 54 4 30 12 2 12 30 4 54 6 32 (?)
a_n: 0 32 38 92 96 126 138 140 152 182 186 240 246 278
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: crashtech
db: batch=62, k=14, 32 6 54 4 30 12 2

STPT(10)	11467115200634279	0 2 18 20 30 32 42 44 60 62	-29026678692
SPT(16)	11467116831316441	0 36 58 70 88 100 102 120 148 166 168 180 198 210 232 268	-27395996530
SPT(14)	11467118935484477	0 12 20 26 42 56 72 80 96 110 126 132 140 152	-25291828494
TPT(12)	11467131071524787	0 2 72 74 114 116 180 182 324 326 372 374	-13155788184
SPT(14)	11467132330353787	0 90 106 126 136 150 156 196 202 216 226 246 262 352	-11896959184
SPT(14)	11467133734662601	0 42 52 100 102 112 120 178 186 196 198 246 256 298	-10492650370
SPT(14)	11467167859017359	0 54 84 104 114 128 150 188 210 224 234 254 284 338	23631704388
SPT(14)	11467176594364529	0 8 24 54 80 122 152 180 210 252 278 308 324 332	32367051558
SPT(16)	11467177220416651	0 30 40 76 82 90 132 142 156 166 208 216 222 258 268 298	32993103680
SPT(14)	11467203894685109	0 32 42 54 72 104 132 140 168 200 218 230 240 272	59667372138
STPT(10)	11467206993730529	0 2 18 20 30 32 42 44 60 62	62766417558