Prime p₀= 2591405826452134619 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: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2591404790112810493	0 30 34 64 70 138 148 174 184 210 220 288 294 324 328 358	-1036339324126
STPT(10)	2591405242576977257	0 2 54 56 72 74 90 92 144 146	-583875157362
STPT(10)	2591405257180099991	0 2 36 38 78 80 120 122 156 158	-569272034628
STPT(10)	2591405289096640139	0 2 12 14 30 32 48 50 60 62	-537355494480
STPT(10)	2591405532743647589	0 2 12 14 30 32 48 50 60 62	-293708487030
STPT(10)	2591405722928739329	0 2 18 20 30 32 42 44 60 62	-103523395290
SPT(16)	2591405879243015047	0 36 52 70 72 90 120 156 160 196 226 244 246 264 280 316	52790880428
SPT(18)	2591405985182863951	0 6 22 48 70 72 90 138 148 180 190 238 256 258 280 306 322 328	158730729332
STPT(10)	2591406062053518761	0 2 6 8 18 20 30 32 36 38	235601384142
STPT(10)	2591406217591480097	0 2 30 32 42 44 54 56 84 86	391139345478
TPT(14)	2591406438245204399	0 2 30 32 42 44 78 80 150 152 210 212 408 410	611793069780