Prime p₀= 2412168735240488591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: herby44
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2412167582789497847	0 14 32 66 84 132 144 146 150 152 164 212 230 264 282 296	-1152450990744
SPT(16)	2412167600953739507	0 26 42 60 72 132 212 222 260 270 350 410 422 440 456 482	-1134286749084
SPT(16)	2412167941802250911	0 26 56 66 68 90 102 108 140 146 158 180 182 192 222 248	-793438237680
SPT(16)	2412168059591630629	0 4 22 24 48 58 72 94 168 190 204 214 238 240 258 262	-675648857962
SPT(16)	2412168674693389009	0 4 30 34 48 54 60 144 154 238 244 250 264 268 294 298	-60547099582
SPT(16)	2412168700136003491	0 42 78 90 96 100 106 138 190 222 228 232 238 250 286 328	-35104485100
SPT(16)	2412169079930453713	0 18 58 106 136 178 210 228 238 256 288 330 360 408 448 466	344689965122
STPT(10)	2412169369762662509	0 2 18 20 30 32 42 44 60 62	634522173918
SPT(13)	2412169428196021301	0 12 30 36 90 120 126 132 162 216 222 240 252	692955532710
SPT(16)	2412169461833164757	0 26 42 66 110 126 146 192 194 240 260 276 320 344 360 386	726592676166
STPT(10)	2412169606619421791	0 2 6 8 18 20 30 32 36 38	871378933200