Prime p₀= 1949368109582696123 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 12 20 6 54 12 4 26 4 12 54 6 20 12 6 (?)
a_n: 0 6 18 38 44 98 110 114 140 144 156 210 216 236 248 254
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 254
Found by: Landjunge
db: batch=80, k=16, 6 12 20 6 54 12 4 26

SPT(16)	1949366585388936479	0 38 42 62 98 110 128 150 152 174 192 204 240 260 264 302	-1524193759644
SPT(16)	1949366988846837473	0 6 8 20 30 50 78 96 170 188 216 236 246 258 260 266	-1120735858650
SPT(16)	1949367055496426641	0 10 18 60 66 96 118 126 130 138 160 190 196 238 246 256	-1054086269482
SPT(16)	1949367151693388519	0 14 32 50 60 72 78 102 140 164 170 182 192 210 228 242	-957889307604
STPT(10)	1949367957870931859	0 2 18 20 30 32 42 44 60 62	-151711764264
STPT(10)	1949368041140827631	0 2 30 32 78 80 126 128 156 158	-68441868492
SPT(16)	1949368202546094353	0 14 18 36 38 74 108 134 150 176 210 246 248 266 270 284	92963398230
STPT(10)	1949368258013502551	0 2 36 38 78 80 120 122 156 158	148430806428
STPT(10)	1949368545672491129	0 2 18 20 30 32 42 44 60 62	436089795006
TPT(14)	1949368615377138269	0 2 42 44 72 74 108 110 210 212 240 242 270 272	505794442146
SPT(16)	1949368818102715951	0 28 42 76 126 130 138 142 156 160 168 172 222 256 270 298	708520019828