Prime p₀= 2396916379302970097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Landjunge
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2396914029813429143	0 26 44 78 84 98 108 128 246 266 276 290 296 330 348 374	-2349489540954
SPT(16)	2396914107851858281	0 12 40 42 46 58 60 82 126 148 150 162 166 168 196 208	-2271451111816
STPT(10)	2396914498457407457	0 2 42 44 72 74 102 104 144 146	-1880845562640
TPT(14)	2396914519122210287	0 2 12 14 30 32 72 74 90 92 114 116 144 146	-1860180759810
SPT(16)	2396915692827847901	0 2 26 36 48 92 140 146 282 288 336 380 392 402 426 428	-686475122196
STPT(10)	2396915822313923087	0 2 72 74 102 104 132 134 204 206	-556989047010
SPT(16)	2396916405409580317	0 64 72 90 106 112 126 132 154 160 174 180 196 214 222 286	26106610220
STPT(10)	2396916590336191829	0 2 42 44 90 92 138 140 180 182	211033221732
STPT(10)	2396916747499919261	0 2 78 80 138 140 198 200 276 278	368196949164
TPT(14)	2396916813120277067	0 2 12 14 72 74 174 176 240 242 252 254 300 302	433817306970
TPT(14)	2396916921314227727	0 2 72 74 294 296 450 452 462 464 504 506 510 512	542011257630