Prime p₀= 778871299426849583 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 30 18 20 4 12 20 34 20 12 4 20 18 30 36 (?)
a_n: 0 36 66 84 104 108 120 140 174 194 206 210 230 248 278 314
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: 314
Found by: Egon olsen
db: batch=73, k=16, 36 30 18 20 4 12 20 34

SPT(20)	778869798820190999	0 32 62 78 80 150 162 228 252 294 308 350 374 440 452 522 524 540 570 602	-1500606658584
SPT(16)	778870319227567811	0 12 18 38 56 80 102 122 216 236 258 282 300 320 326 338	-980199281772
TPT(14)	778870483536889871	0 2 78 80 138 140 150 152 156 158 180 182 288 290	-815889959712
SPT(16)	778870531471416767	0 50 104 144 192 270 284 330 356 402 416 494 542 582 636 686	-767955432816
SPT(16)	778870985932797391	0 6 36 46 60 130 162 196 222 256 288 358 372 382 412 418	-313494052192
STPT(10)	778871080222406837	0 2 30 32 42 44 54 56 84 86	-219204442746
STPT(10)	778871427912634127	0 2 30 32 42 44 54 56 84 86	128485784544
TPT(14)	778871464957351811	0 2 36 38 138 140 180 182 216 218 336 338 348 350	165530502228
SPT(16)	778871723692700927	0 2 32 56 90 92 120 146 186 212 240 242 276 300 330 332	424265851344
STPT(10)	778872166574438327	0 2 30 32 42 44 54 56 84 86	867147588744
TPT(14)	778872392597849369	0 2 42 44 72 74 78 80 138 140 288 290 330 332	1093170999786