Prime p₀= 756667915032774317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: jozef j
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	756666363547893973	0 18 66 70 136 150 166 180 256 270 286 300 366 370 418 436	-1551484880344
SPT(16)	756666756582958231	0 58 76 82 160 168 180 222 226 268 280 288 366 372 390 448	-1158449816086
STPT(10)	756667205315916857	0 2 30 32 42 44 54 56 84 86	-709716857460
SPT(16)	756667572440688917	0 12 24 42 50 54 60 84 110 134 140 144 152 170 182 194	-342592085400
SPT(16)	756667780360108613	0 6 68 90 156 168 198 216 260 278 308 320 386 408 470 476	-134672665704
STPT(10)	756667823464482827	0 2 72 74 102 104 132 134 204 206	-91568291490
STPT(10)	756667925212777577	0 2 24 26 42 44 60 62 84 86	10180003260
SPT(16)	756668015842146259	0 24 34 40 90 108 120 154 174 208 220 238 288 294 304 328	100809371942
TPT(14)	756668033860951271	0 2 36 38 66 68 78 80 90 92 138 140 180 182	118828176954
STPT(10)	756668083000299707	0 2 30 32 42 44 54 56 84 86	167967525390
SPT(13)	756668450827209629	0 30 60 78 114 120 144 168 174 210 228 258 288	535794435312