Prime p₀= 1265377802426469607 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 42 110 28 12 2 48 22 48 2 12 28 110 42 40 (?)
a_n: 0 40 82 192 220 232 234 282 304 352 354 366 394 504 546 586
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: 586
Found by: HenkM
db: batch=77, k=16, 40 42 110 28 12 2 48 22

TPT(14)	1265375764127320511	0 2 180 182 210 212 246 248 318 320 330 332 360 362	-2038299149096
SPT(16)	1265375929326295247	0 24 44 60 62 66 74 126 170 222 230 234 236 252 272 296	-1873100174360
SPT(16)	1265376547500214739	0 72 122 132 174 210 252 282 302 332 374 410 452 462 512 584	-1254926254868
SPT(16)	1265377364864308841	0 18 56 66 80 90 98 110 138 150 158 168 182 192 230 248	-437562160766
SPT(16)	1265377379248307191	0 18 28 52 60 66 102 132 136 166 202 208 216 240 250 268	-423178162416
TPT(14)	1265377533817699871	0 2 18 20 48 50 126 128 186 188 228 230 240 242	-268608769736
SPT(16)	1265378060430526177	0 6 22 42 64 84 160 196 210 246 322 342 364 384 400 406	258004056570
STPT(10)	1265378063606442131	0 2 90 92 150 152 210 212 300 302	261179972524
SPT(16)	1265378315355872461	0 28 30 52 90 130 160 168 220 228 258 298 336 358 360 388	512929402854
SPT(18)	1265378338362498359	0 20 24 42 80 102 104 132 158 174 200 228 230 252 290 308 312 332	535936028752
SPT(16)	1265378429979226669	0 22 42 100 108 148 204 238 264 298 354 394 402 460 480 502	627552757062