Prime p₀= 369759353508636911 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 24 10 20 10 14 172 14 10 20 10 24 2 (?)
a_n: 0 2 26 36 56 66 80 252 266 276 296 306 330 332
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: 332
Found by: Cruncher Pete
db: batch=70, k=14, 2 24 10 20 10 14 172

SPT(14)	369759326769568919	0 8 14 32 42 78 98 144 164 200 210 228 234 242	-26739067992
SPT(14)	369759340920769447	0 6 16 40 70 72 142 180 250 252 282 306 316 322	-12587867464
TPT(12)	369759341907736997	0 2 54 56 60 62 102 104 150 152 210 212	-11600899914
SPT(14)	369759344363258621	0 32 50 102 126 140 146 156 162 176 200 252 270 302	-9145378290
SPT(14)	369759349529918111	0 8 30 60 96 126 162 176 212 242 278 308 330 338	-3978718800
SPT(16)	369759352148998717	0 16 94 120 124 142 162 204 322 364 384 402 406 432 510 526	-1359638194
TPT(12)	369759360000886169	0 2 12 14 18 20 138 140 228 230 240 242	6492249258
SPT(14)	369759360404205347	0 2 14 32 36 42 60 116 134 140 144 162 174 176	6895568436
SPT(16)	369759380517438631	0 48 108 150 156 180 186 208 228 250 256 280 286 328 388 436	27008801720
SPT(14)	369759425713661969	0 14 32 38 42 44 84 98 138 140 144 150 168 182	72205025058
SPT(14)	369759426048971341	0 12 28 52 82 88 102 118 132 138 168 192 208 220	72540334430