Prime p₀= 2725856042336589047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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-FC] hl
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2725855078650063013	0 10 34 58 78 106 120 124 150 154 168 196 216 240 264 274	-963686526034
STPT(10)	2725855166198628197	0 2 24 26 42 44 60 62 84 86	-876137960850
SPT(16)	2725855173194935007	0 80 92 102 114 116 122 150 176 204 210 212 224 234 246 326	-869141654040
STPT(10)	2725855330751715857	0 2 30 32 60 62 90 92 120 122	-711584873190
STPT(10)	2725855507606582667	0 2 30 32 42 44 54 56 84 86	-534730006380
STPT(12)	2725855778990857691	0 2 6 8 48 50 78 80 120 122 126 128	-263345731356
SPT(16)	2725856640307494541	0 22 70 82 130 138 162 178 180 196 220 228 276 288 336 358	597970905494
SPT(16)	2725856673389463841	0 106 126 156 162 166 198 210 238 250 282 286 292 322 342 448	631052874794
SPT(16)	2725856708329999723	0 34 36 78 100 108 124 174 310 360 376 384 406 448 450 484	665993410676
STPT(10)	2725857486780538181	0 2 36 38 78 80 120 122 156 158	1444443949134
SPT(16)	2725857669498195497	0 2 14 24 90 102 132 150 356 374 404 416 482 492 504 506	1627161606450