Prime p₀= 729068644117066753 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 4 18 6 14 12 36 22 36 12 14 6 18 4 36 (?)
a_n: 0 36 40 58 64 78 90 126 148 184 196 210 216 234 238 274
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: 274
Found by: MarkRBright
db: batch=73, k=16, 36 4 18 6 14 12 36 22

STPT(10)	729067197175993139	0 2 48 50 60 62 72 74 120 122	-1446941073614
SPT(16)	729067257529453669	0 24 40 58 112 114 144 150 172 178 208 210 264 282 298 322	-1386587613084
STPT(10)	729067618349693219	0 2 42 44 60 62 78 80 120 122	-1025767373534
STPT(12)	729067952493951197	0 2 12 14 30 32 54 56 72 74 84 86	-691623115556
TPT(14)	729068044415797517	0 2 30 32 60 62 222 224 264 266 384 386 474 476	-599701269236
SPT(16)	729068099656438063	0 18 40 54 78 114 156 184 210 238 280 316 340 354 376 394	-544460628690
STPT(10)	729068882282328491	0 2 36 38 78 80 120 122 156 158	238165261738
STPT(10)	729068970940483037	0 2 42 44 72 74 102 104 144 146	326823416284
SPT(16)	729069073085295473	0 18 24 128 164 194 216 264 410 458 480 510 546 650 656 674	428968228720
STPT(10)	729069192353736989	0 2 18 20 30 32 42 44 60 62	548236670236
TPT(14)	729069202995295289	0 2 12 14 72 74 162 164 240 242 252 254 318 320	558878228536