Prime p₀= 2738263328127552161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=10, 2 64 2 70 2

SPT(16)	2738260823272111889	0 48 72 90 98 110 180 258 344 422 492 504 512 530 554 602	-2504855440272
TPT(14)	2738260879669495487	0 2 180 182 192 194 234 236 264 266 270 272 282 284	-2448458056674
SPT(16)	2738261226661594163	0 6 8 90 96 140 176 188 216 228 264 308 314 396 398 404	-2101465957998
SPT(16)	2738262478306063987	0 12 46 64 76 90 102 172 204 274 286 300 312 330 364 376	-849821488174
TPT(14)	2738263257036159899	0 2 60 62 138 140 168 170 180 182 222 224 252 254	-71091392262
STPT(10)	2738263301640163679	0 2 48 50 90 92 132 134 180 182	-26487388482
STPT(10)	2738263740313817291	0 2 36 38 78 80 120 122 156 158	412186265130
STPT(10)	2738263923331098047	0 2 12 14 42 44 72 74 84 86	595203545886
STPT(10)	2738264109388103897	0 2 42 44 72 74 102 104 144 146	781260551736
SPT(16)	2738264561168119681	0 36 70 90 96 118 166 208 210 252 300 322 328 348 382 418	1233040567520
STPT(10)	2738264804930605121	0 2 78 80 108 110 138 140 216 218	1476803052960