Prime p₀= 729068882282328491 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: MarkRBright
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	729067257529453669	0 24 40 58 112 114 144 150 172 178 208 210 264 282 298 322	-1624752874822
STPT(10)	729067618349693219	0 2 42 44 60 62 78 80 120 122	-1263932635272
STPT(12)	729067952493951197	0 2 12 14 30 32 54 56 72 74 84 86	-929788377294
TPT(14)	729068044415797517	0 2 30 32 60 62 222 224 264 266 384 386 474 476	-837866530974
SPT(16)	729068099656438063	0 18 40 54 78 114 156 184 210 238 280 316 340 354 376 394	-782625890428
SPT(16)	729068644117066753	0 36 40 58 64 78 90 126 148 184 196 210 216 234 238 274	-238165261738
STPT(10)	729068970940483037	0 2 42 44 72 74 102 104 144 146	88658154546
SPT(16)	729069073085295473	0 18 24 128 164 194 216 264 410 458 480 510 546 650 656 674	190802966982
STPT(10)	729069192353736989	0 2 18 20 30 32 42 44 60 62	310071408498
TPT(14)	729069202995295289	0 2 12 14 72 74 162 164 240 242 252 254 318 320	320712966798
STPT(10)	729069469169008577	0 2 30 32 42 44 54 56 84 86	586886680086