Prime p₀= 1128561559021212929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1128560844500485601	0 2 6 8 18 20 30 32 36 38	-714520727328
STPT(10)	1128561033166671491	0 2 30 32 78 80 126 128 156 158	-525854541438
SPT(16)	1128561217980389773	0 34 48 66 84 88 100 186 208 294 306 310 328 346 360 394	-341040823156
SPT(16)	1128561245525136167	0 42 56 84 92 140 162 260 306 404 426 474 482 510 524 566	-313496076762
SPT(16)	1128561444848434409	0 38 50 72 80 120 158 170 192 204 242 282 290 312 324 362	-114172778520
STPT(10)	1128561481381924547	0 2 24 26 42 44 60 62 84 86	-77639288382
SPT(16)	1128561566607108197	0 32 54 110 120 132 152 176 180 204 224 236 246 302 324 356	7585895268
SPT(16)	1128562343971660729	0 4 40 42 48 54 112 118 174 180 238 244 250 252 288 292	784950447800
SPT(16)	1128562678501853927	0 24 36 66 140 170 176 234 236 294 300 330 404 434 446 470	1119480640998
SPT(16)	1128563555399786281	0 42 46 138 172 196 222 252 256 286 312 336 370 462 466 508	1996378573352
STPT(10)	1128563916348383519	0 2 42 44 90 92 138 140 180 182	2357327170590