Prime p₀= 2134667810619278503 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 24 40 14 4 26 4 8 4 26 4 14 40 24 6 (?)
a_n: 0 6 30 70 84 88 114 118 126 130 156 160 174 214 238 244
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: 244
Found by: Vato
db: batch=80, k=16, 6 24 40 14 4 26 4 8

SPT(16)	2134666903189365001	0 22 28 30 52 72 78 136 162 220 226 246 268 270 276 298	-907429913502
SPT(16)	2134667168508073313	0 6 8 48 56 60 66 78 86 98 104 108 116 156 158 164	-642111205190
SPT(16)	2134667334699965713	0 70 96 118 130 148 196 216 238 258 306 324 336 358 384 454	-475919312790
STPT(12)	2134667553268620527	0 2 42 44 54 56 120 122 132 134 174 176	-257350657976
STPT(10)	2134667682566554691	0 2 6 8 48 50 90 92 96 98	-128052723812
TPT(14)	2134667703809069027	0 2 30 32 42 44 144 146 222 224 240 242 282 284	-106810209476
SPT(16)	2134668118237771817	0 26 54 86 114 162 182 194 252 264 284 332 360 392 420 446	307618493314
SPT(16)	2134668456706070543	0 14 20 24 56 60 68 90 164 186 194 198 230 234 240 254	646086792040
SPT(16)	2134668749164030867	0 16 30 36 76 84 106 120 196 210 232 240 280 286 300 316	938544752364
SPT(16)	2134668928025957033	0 50 86 120 156 174 204 216 218 230 260 278 314 348 384 434	1117406678530
SPT(16)	2134668987419308409	0 114 128 174 180 224 242 248 384 390 408 452 458 504 518 632	1176800029906