Prime p₀= 2726599075179616619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2726596149488532323	0 14 48 90 114 146 158 168 176 186 198 230 254 296 330 344	-2925691084296
STPT(10)	2726597073535781777	0 2 90 92 102 104 114 116 204 206	-2001643834842
STPT(10)	2726597685439204271	0 2 30 32 60 62 90 92 120 122	-1389740412348
SPT(16)	2726597797464333607	0 22 34 36 70 72 94 112 114 132 154 156 190 192 204 226	-1277715283012
SPT(16)	2726598053964295543	0 4 6 28 40 48 54 90 154 190 196 204 216 238 240 244	-1021215321076
STPT(10)	2726598735453019121	0 2 30 32 60 62 90 92 120 122	-339726597498
STPT(10)	2726599088015014109	0 2 18 20 60 62 102 104 120 122	12835397490
SPT(16)	2726599109114007397	0 22 30 46 90 96 106 130 156 180 190 196 240 256 264 286	33934390778
STPT(10)	2726599276446964109	0 2 72 74 120 122 168 170 240 242	201267347490
SPT(16)	2726599408656359141	0 66 72 90 92 126 182 192 230 240 296 330 332 350 356 422	333476742522
STPT(10)	2726599556862762401	0 2 6 8 18 20 30 32 36 38	481683145782