Prime p₀= 181517235791915897 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 54 30 38 10 20 48 16 48 20 10 38 30 54 (?)
a_n: 0 54 84 122 132 152 200 216 264 284 294 332 362 416
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: 416
Found by: desktop64
db: batch=69, k=14, 54 30 38 10 20 48 16

SPT(14)	181517151719742259	0 24 94 172 180 192 214 270 292 304 312 390 460 484	-84072173638
STPT(10)	181517172217998317	0 2 30 32 42 44 54 56 84 86	-63573917580
SPT(14)	181517182926588589	0 12 70 72 124 148 234 238 324 348 400 402 460 472	-52865327308
SPT(14)	181517189245027661	0 2 20 36 42 62 86 102 126 146 152 168 186 188	-46546888236
TPT(12)	181517199288234881	0 2 30 32 78 80 108 110 156 158 168 170	-36503681016
SPT(14)	181517209805439239	0 2 44 72 78 98 102 110 114 134 140 168 210 212	-25986476658
SPT(14)	181517251411950719	0 2 12 30 44 48 72 80 104 108 122 140 150 152	15620034822
SPT(14)	181517254759656811	0 6 42 46 48 58 72 106 120 130 132 136 172 178	18967740914
SPT(20)	181517263342148441	0 8 30 42 56 68 78 120 126 138 140 152 158 200 210 222 236 248 270 278	27550232544
SPT(14)	181517277460386079	0 42 72 94 102 108 114 148 154 160 168 190 220 262	41668470182
SPT(14)	181517283818459051	0 26 36 42 50 60 72 80 92 102 110 116 126 152	48026543154