Prime p₀= 2726593678235681027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: JayPi
db: batch=82, k=10, 2 10 2 58 2

SPT(20)	2726592205564925317	0 12 16 34 42 60 72 76 112 132 154 174 210 214 226 244 252 270 274 286	-1472670755710
SPT(16)	2726592232638133669	0 10 12 18 40 60 64 84 88 108 112 132 154 160 162 172	-1445597547358
STPT(10)	2726592542857485851	0 2 6 8 48 50 90 92 96 98	-1135378195176
STPT(10)	2726592678558842939	0 2 18 20 30 32 42 44 60 62	-999676838088
STPT(10)	2726592915367238129	0 2 42 44 60 62 78 80 120 122	-762868442898
SPT(16)	2726593281385829263	0 24 94 106 136 184 234 238 276 280 330 378 408 420 490 514	-396849851764
STPT(10)	2726594360165547197	0 2 42 44 72 74 102 104 144 146	681929866170
STPT(10)	2726594390841371261	0 2 30 32 78 80 126 128 156 158	712605690234
SPT(16)	2726594443822493261	0 2 8 36 42 56 62 98 120 156 162 176 182 210 216 218	765586812234
STPT(10)	2726594452798048487	0 2 54 56 72 74 90 92 144 146	774562367460
SPT(16)	2726594548054234679	0 2 24 68 92 98 120 128 384 392 414 420 444 488 510 512	869818553652