Prime p₀= 2341485844496442401 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2341484330718897583	0 10 36 76 150 154 190 196 198 204 240 244 318 358 384 394	-1513777544818
STPT(10)	2341485163761433757	0 2 12 14 72 74 132 134 144 146	-680735008644
SPT(16)	2341485222619479533	0 24 84 86 104 116 134 150 224 240 258 270 288 290 350 374	-621876962868
SPT(16)	2341485488624796721	0 60 70 72 82 138 148 162 166 180 190 246 256 258 268 328	-355871645680
TPT(14)	2341485577403056781	0 2 30 32 48 50 90 92 186 188 336 338 378 380	-267093385620
STPT(10)	2341485732881344727	0 2 12 14 42 44 72 74 84 86	-111615097674
SPT(16)	2341486011132363187	0 4 16 126 166 226 240 250 270 280 294 354 394 504 516 520	166635920786
STPT(10)	2341486054516683341	0 2 36 38 78 80 120 122 156 158	210020240940
STPT(10)	2341486349979442451	0 2 30 32 78 80 126 128 156 158	505483000050
STPT(10)	2341486493203153367	0 2 30 32 42 44 54 56 84 86	648706710966
SPT(16)	2341486618643439937	0 54 60 64 66 70 102 106 150 154 186 190 192 196 202 256	774146997536