Prime p₀= 234217830094857647 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 8 16 26 18 6 4 6 18 26 16 8 12 (?)
a_n: 0 12 20 36 62 80 86 90 96 114 140 156 164 176
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: 176
Found by: desktop64
db: batch=69, k=14, 12 8 16 26 18 6 4

SPT(14)	234217749598319021	0 12 36 42 86 120 140 168 188 222 266 272 296 308	-80496538626
SPT(14)	234217763874701917	0 4 6 10 16 34 100 186 252 270 276 280 282 286	-66220155730
SPT(14)	234217769714598077	0 14 20 24 30 62 66 80 84 116 122 126 132 146	-60380259570
TPT(12)	234217780762307999	0 2 42 44 198 200 222 224 402 404 450 452	-49332549648
SPT(14)	234217817339345447	0 126 170 182 186 192 240 242 290 296 300 312 356 482	-12755512200
SPT(14)	234217820768541167	0 54 60 84 104 120 132 152 164 180 200 224 230 284	-9326316480
SPT(14)	234217837930683031	0 46 120 126 168 178 222 286 330 340 382 388 462 508	7835825384
SPT(20)	234217848507357917	0 2 12 24 44 72 96 122 126 144 152 170 174 200 224 252 272 284 294 296	18412500270
SPT(14)	234217849459937699	0 20 30 32 54 72 80 132 140 158 180 182 192 212	19365080052
STPT(10)	234217875877902281	0 2 30 32 78 80 126 128 156 158	45783044634
SPT(14)	234217894069032421	0 22 42 48 72 78 108 160 190 196 220 226 246 268	63974174774