Prime p₀= 786460276042985953 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 6 36 60 28 2 24 40 24 2 28 60 36 6 24 (?)
a_n: 0 24 30 66 126 154 156 180 220 244 246 274 334 370 376 400
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: 400
Found by: paulteo
db: batch=73, k=16, 24 6 36 60 28 2 24 40

SPT(16)	786459040231756351	0 18 40 48 96 166 186 208 210 232 252 322 370 378 400 418	-1235811229602
SPT(16)	786459170578345673	0 24 44 66 78 114 128 156 188 216 230 266 278 300 320 344	-1105464640280
SPT(16)	786459361939504717	0 6 16 22 36 70 90 144 202 256 276 310 324 330 340 346	-914103481236
STPT(10)	786459992107333931	0 2 30 32 78 80 126 128 156 158	-283935652022
SPT(16)	786460083512922347	0 6 86 96 114 174 180 200 240 260 266 326 344 354 434 440	-192530063606
SPT(16)	786460177669299377	0 26 56 90 96 116 144 156 170 182 210 230 236 270 300 326	-98373686576
SPT(16)	786460312844568071	0 2 8 56 66 78 86 98 120 132 140 152 162 210 216 218	36801582118
SPT(20)	786460912153699459	0 28 42 70 112 154 162 250 288 300 322 334 372 460 468 510 552 580 594 622	636110713506
STPT(10)	786460951162880027	0 2 60 62 72 74 84 86 144 146	675119894074
STPT(10)	786461013230300201	0 2 66 68 138 140 210 212 276 278	737187314248
STPT(10)	786461070463744199	0 2 18 20 30 32 42 44 60 62	794420758246