Prime p₀= 2704729984138518767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2704729152172809019	0 34 84 88 90 112 154 168 244 258 300 322 324 328 378 412	-831965709748
TPT(14)	2704729381747670489	0 2 18 20 60 62 78 80 132 134 168 170 240 242	-602390848278
TPT(14)	2704729511475900989	0 2 12 14 90 92 108 110 300 302 318 320 342 344	-472662617778
SPT(16)	2704729722249786433	0 28 30 54 66 88 114 160 234 280 306 328 340 364 366 394	-261888732334
STPT(10)	2704729726327438721	0 2 6 8 18 20 30 32 36 38	-257811080046
SPT(16)	2704729983295425961	0 36 58 66 166 228 382 408 430 456 610 672 772 780 802 838	-843092806
SPT(16)	2704730715248565049	0 30 40 72 82 112 114 184 198 268 270 300 310 342 352 382	731110046282
STPT(10)	2704731049405920497	0 2 30 32 42 44 54 56 84 86	1065267401730
STPT(10)	2704731063725735687	0 2 30 32 42 44 54 56 84 86	1079587216920
STPT(10)	2704731113896588727	0 2 30 32 42 44 54 56 84 86	1129758069960
SPT(16)	2704731190369014197	0 32 42 72 74 80 86 110 186 210 216 222 224 254 264 296	1206230495430