Prime p₀= 964091559070633967 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: HenkM
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	964090874121118973	0 14 26 54 78 104 126 138 146 158 180 206 230 258 270 284	-684949514994
STPT(10)	964090944069365009	0 2 42 44 60 62 78 80 120 122	-615001268958
SPT(16)	964091213052943069	0 12 24 30 54 72 94 108 124 138 160 178 202 208 220 232	-346017690898
SPT(16)	964091316770890229	0 8 20 38 60 104 174 180 188 194 264 308 330 348 360 368	-242299743738
STPT(10)	964091339327486369	0 2 18 20 30 32 42 44 60 62	-219743147598
STPT(10)	964091390538339461	0 2 126 128 168 170 210 212 336 338	-168532294506
SPT(16)	964091731876026577	0 22 42 70 126 132 196 264 322 390 454 460 516 544 564 586	172805392610
SPT(16)	964091802430698023	0 8 20 56 68 108 120 140 144 164 176 216 228 264 276 284	243360064056
TPT(14)	964091839236628379	0 2 30 32 90 92 102 104 138 140 168 170 258 260	280165994412
SPT(16)	964092163283913439	0 34 52 102 112 124 130 132 220 222 228 240 250 300 318 352	604213279472
SPT(16)	964092388566883847	0 36 102 174 204 242 252 266 270 284 294 332 362 434 500 536	829496249880