Prime p₀= 828015679088986649 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: scrap
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	828013262264815937	0 6 14 24 36 90 120 140 156 176 206 260 272 282 290 296	-2416824170712
TPT(14)	828013844038527929	0 2 198 200 210 212 228 230 312 314 318 320 420 422	-1835050458720
STPT(10)	828013845939522839	0 2 42 44 60 62 78 80 120 122	-1833149463810
STPT(10)	828015049334792321	0 2 36 38 78 80 120 122 156 158	-629754194328
STPT(10)	828015305024250989	0 2 48 50 60 62 72 74 120 122	-374064735660
TPT(14)	828015337604159489	0 2 30 32 78 80 108 110 168 170 180 182 210 212	-341484827160
SPT(16)	828016288707592531	0 22 30 42 52 70 88 100 108 120 138 156 166 178 186 208	609618605882
TPT(14)	828016334746429319	0 2 78 80 108 110 162 164 168 170 240 242 252 254	655657442670
SPT(16)	828016348774017869	0 30 72 78 98 102 114 134 168 188 200 204 224 230 272 302	669685031220
SPT(16)	828016935424164511	0 18 60 72 102 112 120 168 190 238 246 256 286 298 340 358	1256335177862
SPT(18)	828017481696953531	0 42 78 86 90 92 110 140 146 162 168 198 216 218 222 230 266 308	1802607966882