Prime p₀= 2342592865026219899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2342591053619651437	0 22 42 52 64 70 114 126 130 142 186 192 204 214 234 256	-1811406568462
TPT(14)	2342591205979126589	0 2 48 50 102 104 210 212 282 284 312 314 450 452	-1659047093310
TPT(14)	2342591436855021761	0 2 6 8 36 38 78 80 120 122 168 170 180 182	-1428171198138
STPT(10)	2342591843108477789	0 2 12 14 90 92 168 170 180 182	-1021917742110
SPT(16)	2342592236651926943	0 6 14 56 98 110 134 138 176 180 204 216 258 300 308 314	-628374292956
STPT(10)	2342592246261156269	0 2 78 80 120 122 162 164 240 242	-618765063630
SPT(16)	2342592869700161909	0 8 18 132 134 152 168 174 188 194 210 228 230 344 354 362	4673942010
STPT(10)	2342592924634672781	0 2 30 32 78 80 126 128 156 158	59608452882
STPT(10)	2342593367586032549	0 2 18 20 30 32 42 44 60 62	502559812650
STPT(10)	2342593441308118949	0 2 18 20 30 32 42 44 60 62	576281899050
SPT(16)	2342593610562243569	0 20 44 48 122 138 174 182 240 248 284 300 374 378 402 422	745536023670