Prime p₀= 1281036214259310329 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: HenkM
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1281035197922630789	0 20 84 132 134 200 204 228 314 338 342 408 410 458 522 542	-1016336679540
STPT(10)	1281035480487036887	0 2 30 32 42 44 54 56 84 86	-733772273442
SPT(16)	1281035500087375303	0 6 34 90 108 118 130 220 294 384 396 406 424 480 508 514	-714171935026
SPT(16)	1281035524572275447	0 26 50 54 84 104 150 176 264 290 336 356 386 390 414 440	-689687034882
SPT(16)	1281035575491905693	0 6 14 36 48 78 80 96 188 204 206 236 248 270 278 284	-638767404636
SPT(16)	1281036158005527457	0 24 46 66 70 72 84 184 282 382 394 396 400 420 442 466	-56253782872
STPT(10)	1281036836892630029	0 2 18 20 60 62 102 104 120 122	622633319700
SPT(16)	1281037085371965721	0 22 30 120 150 172 192 202 228 238 258 280 310 400 408 430	871112655392
SPT(16)	1281037130421881947	0 24 52 72 90 126 136 156 190 210 220 256 274 294 322 346	916162571618
SPT(16)	1281037206044409367	0 4 64 82 120 126 142 144 232 234 250 256 294 312 372 376	991785099038
STPT(10)	1281037355890920281	0 2 96 98 108 110 120 122 216 218	1141631609952