Prime p₀= 2576920634041373531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2576919704216440969	0 18 28 42 64 78 84 102 130 148 154 168 190 204 214 232	-929824932562
STPT(10)	2576919776406320027	0 2 42 44 72 74 102 104 144 146	-857635053504
SPT(16)	2576920012090963621	0 36 60 66 70 130 132 136 162 166 168 228 232 238 262 298	-621950409910
SPT(16)	2576920044830109887	0 20 42 74 84 140 194 230 306 342 396 452 462 494 516 536	-589211263644
SPT(16)	2576920517728960027	0 100 162 190 214 226 262 270 286 294 330 342 366 394 456 556	-116312413504
SPT(16)	2576920589071068341	0 12 78 90 98 132 150 176 222 248 266 300 308 320 386 398	-44970305190
SPT(16)	2576920717912730009	0 44 78 80 84 104 120 134 198 212 228 248 252 254 288 332	83871356478
STPT(10)	2576920767460681469	0 2 18 20 60 62 102 104 120 122	133419307938
SPT(16)	2576920862087318893	0 28 34 54 60 90 94 108 160 174 178 208 214 234 240 268	228045945362
STPT(10)	2576921010352700129	0 2 18 20 30 32 42 44 60 62	376311326598
STPT(10)	2576921227928878679	0 2 30 32 60 62 90 92 120 122	593887505148