Prime p₀= 2576919776406320027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2576918845721031811	0 10 42 46 58 70 126 150 178 202 258 270 282 286 318 328	-930685288216
TPT(14)	2576919303564086627	0 2 24 26 42 44 84 86 102 104 144 146 180 182	-472842233400
STPT(10)	2576919325784657549	0 2 48 50 90 92 132 134 180 182	-450621662478
SPT(16)	2576919338683567021	0 82 96 100 106 130 156 190 222 256 282 306 312 316 330 412	-437722753006
SPT(16)	2576919646969701329	0 8 18 20 62 92 102 132 200 230 240 270 312 314 324 332	-129436618698
SPT(16)	2576919704216440969	0 18 28 42 64 78 84 102 130 148 154 168 190 204 214 232	-72189879058
SPT(16)	2576920012090963621	0 36 60 66 70 130 132 136 162 166 168 228 232 238 262 298	235684643594
SPT(16)	2576920044830109887	0 20 42 74 84 140 194 230 306 342 396 452 462 494 516 536	268423789860
SPT(16)	2576920517728960027	0 100 162 190 214 226 262 270 286 294 330 342 366 394 456 556	741322640000
SPT(16)	2576920589071068341	0 12 78 90 98 132 150 176 222 248 266 300 308 320 386 398	812664748314
STPT(10)	2576920634041373531	0 2 6 8 18 20 30 32 36 38	857635053504