Prime p₀= 18961511996097367 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 60 40 20 24 10 36 14 36 10 24 20 40 60 (?)
a_n: 0 60 100 120 144 154 190 204 240 250 274 294 334 394
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: 394
Found by: gaballus
db: batch=62, k=14, 60 40 20 24 10 36 14

SPT(14)	18961477042064551	0 10 12 40 78 82 88 102 108 112 150 178 180 190	-34954032816
TPT(12)	18961484401469669	0 2 12 14 48 50 120 122 132 134 168 170	-27594627698
SPT(14)	18961486951991741	0 26 42 72 86 126 152 210 236 276 290 320 336 362	-25044105626
SPT(14)	18961487801089697	0 42 54 56 86 120 132 134 146 180 210 212 224 266	-24195007670
SPT(14)	18961489311876701	0 6 20 78 120 126 140 198 212 218 260 318 332 338	-22684220666
SPT(14)	18961498542566791	0 18 52 58 66 96 100 138 142 172 180 186 220 238	-13453530576
SPT(14)	18961529378367617	0 32 44 54 110 132 144 182 194 216 272 282 294 326	17382270250
SPT(14)	18961533143112311	0 30 72 90 110 122 138 140 156 168 188 206 248 278	21147014944
SPT(14)	18961533841744283	0 18 26 38 48 56 66 140 150 158 168 180 188 206	21845646916
SPT(14)	18961557794582191	0 22 40 46 60 66 76 96 106 112 126 132 150 172	45798484824
SPT(14)	18961559947394423	0 36 50 80 116 134 140 144 150 168 204 234 248 284	47951297056