Prime p₀= 728699689871485427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	728699056339855427	0 26 30 50 54 56 72 80 156 164 180 182 186 206 210 236	-633531630000
SPT(16)	728699269645025759	0 44 62 72 78 90 92 110 282 300 302 314 320 330 348 392	-420226459668
STPT(10)	728699295638594237	0 2 24 26 42 44 60 62 84 86	-394232891190
TPT(14)	728699359092006749	0 2 108 110 150 152 168 170 270 272 402 404 408 410	-330779478678
SPT(16)	728699392648792969	0 10 18 34 40 54 112 130 132 150 208 222 228 244 252 262	-297222692458
SPT(16)	728699439526758017	0 24 42 80 92 170 212 216 290 294 336 414 426 464 482 506	-250344727410
STPT(10)	728699808082657469	0 2 42 44 60 62 78 80 120 122	118211172042
STPT(10)	728699954903428559	0 2 18 20 30 32 42 44 60 62	265031943132
TPT(14)	728700221003576867	0 2 24 26 42 44 84 86 90 92 192 194 222 224	531132091440
SPT(16)	728700389615936611	0 16 76 102 150 156 228 252 286 310 382 388 436 462 522 538	699744451184
SPT(16)	728700473885049929	0 8 54 90 110 132 168 180 212 224 260 282 302 338 384 392	784013564502