Prime p₀= 2523208082311397867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Hightower
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2523206839094248751	0 2 78 80 90 92 108 110 120 122 246 248 288 290	-1243217149116
STPT(10)	2523206868754025747	0 2 42 44 72 74 102 104 144 146	-1213557372120
SPT(16)	2523206944666511569	0 12 22 30 58 70 72 78 82 88 90 102 130 138 148 160	-1137644886298
SPT(16)	2523206977976809237	0 10 36 46 66 94 124 126 274 276 306 334 354 364 390 400	-1104334588630
SPT(16)	2523207146670764867	0 14 32 42 102 104 140 162 164 186 222 224 284 294 312 326	-935640633000
STPT(10)	2523207726098898491	0 2 30 32 120 122 210 212 240 242	-356212499376
SPT(16)	2523208992567601001	0 30 32 96 110 146 152 156 182 186 192 228 242 306 308 338	910256203134
STPT(10)	2523209012523307907	0 2 30 32 42 44 54 56 84 86	930211910040
STPT(10)	2523209511750116009	0 2 18 20 30 32 42 44 60 62	1429438718142
TPT(14)	2523209704088194397	0 2 12 14 90 92 150 152 180 182 204 206 222 224	1621776796530
STPT(10)	2523210448715695559	0 2 42 44 60 62 78 80 120 122	2366404297692