Prime p₀= 725731776970602299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [AF>Amis des Lapins] Ceclo
db: batch=73, k=10, 2 16 2 10 2

TPT(14)	725731250068246319	0 2 30 32 42 44 60 62 120 122 198 200 228 230	-526902355980
TPT(14)	725731355313874079	0 2 18 20 42 44 120 122 132 134 162 164 198 200	-421656728220
SPT(16)	725731384436534897	0 24 80 102 126 150 176 192 194 210 236 260 284 306 362 386	-392534067402
SPT(16)	725731665401162983	0 6 28 40 76 84 136 166 288 318 370 378 414 426 448 454	-111569439316
SPT(16)	725731696009523221	0 28 46 72 76 78 118 120 208 210 250 252 256 282 300 328	-80961079078
STPT(10)	725731751242307177	0 2 30 32 42 44 54 56 84 86	-25728295122
SPT(16)	725731930993334081	0 38 60 68 90 102 126 152 216 242 266 278 300 308 330 368	154022731782
SPT(16)	725731931968743229	0 28 40 84 148 178 214 244 264 294 330 360 424 468 480 508	154998140930
TPT(14)	725732127189915479	0 2 12 14 30 32 60 62 72 74 132 134 138 140	350219313180
SPT(16)	725732375887122343	0 4 54 64 70 76 78 148 186 256 258 264 270 280 330 334	598916520044
SPT(16)	725732757126575299	0 10 28 48 54 78 90 100 132 142 154 178 184 204 222 232	980155973000