Prime p₀= 2726410399862352407 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2726409631397610757	0 4 22 42 112 120 124 132 154 162 166 174 244 264 282 286	-768464741650
STPT(12)	2726409761782444979	0 2 42 44 48 50 132 134 138 140 180 182	-638079907428
SPT(16)	2726409771510774259	0 52 60 72 94 144 150 154 180 184 190 240 262 274 282 334	-628351578148
STPT(10)	2726409981744289637	0 2 30 32 42 44 54 56 84 86	-418118062770
STPT(10)	2726410242313957679	0 2 18 20 30 32 42 44 60 62	-157548394728
SPT(16)	2726410383670508141	0 6 8 36 48 66 78 126 182 230 242 260 272 300 302 308	-16191844266
SPT(16)	2726410722618748513	0 6 66 90 106 124 148 190 264 306 330 348 364 388 448 454	322756396106
TPT(14)	2726410745135003219	0 2 102 104 168 170 192 194 210 212 252 254 270 272	345272650812
SPT(16)	2726410893140213849	0 8 14 38 122 128 192 204 218 230 294 300 384 408 414 422	493277861442
SPT(16)	2726410950506360851	0 18 70 76 118 156 196 208 258 270 310 348 390 396 448 466	550644008444
STPT(12)	2726411104294478969	0 2 30 32 42 44 90 92 102 104 132 134	704432126562