Prime p₀= 2666718204071599193 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 10 66 12 68 22 18 62 18 22 68 12 66 10 50 (?)
a_n: 0 50 60 126 138 206 228 246 308 326 348 416 428 494 504 554
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: 554
Found by: Ben
db: batch=82, k=16, 50 10 66 12 68 22 18 62

SPT(16)	2666716462189940123	0 6 54 56 98 104 146 164 210 228 270 276 318 320 368 374	-1741881659070
SPT(16)	2666716865147759873	0 8 14 30 38 56 66 108 176 218 228 246 254 270 276 284	-1338923839320
SPT(16)	2666716920547252693	0 24 40 60 94 178 190 196 288 294 306 390 424 444 460 484	-1283524346500
STPT(10)	2666717180662929809	0 2 48 50 60 62 72 74 120 122	-1023408669384
SPT(16)	2666717257878635683	0 30 46 96 106 148 156 166 210 220 228 270 280 330 346 376	-946192963510
SPT(16)	2666718016468666549	0 22 42 48 54 78 88 90 112 114 124 148 154 160 180 202	-187602932644
SPT(16)	2666718942266481481	0 10 22 58 88 120 172 196 222 246 298 330 360 396 408 418	738194882288
SPT(16)	2666718981295869281	0 8 12 20 56 78 92 108 260 276 290 312 348 356 360 368	777224270088
TPT(14)	2666719504848250427	0 2 30 32 42 44 90 92 144 146 162 164 312 314	1300776651234
SPT(16)	2666719543326679873	0 28 36 54 60 84 96 106 138 148 160 184 190 208 216 244	1339255080680
TPT(14)	2666720239281437069	0 2 12 14 42 44 78 80 108 110 150 152 168 170	2035209837876