Prime p₀= 3235490667408073367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: gemini8
db: batch=83, k=10, 2 40 2 28 2

STPT(10)	3235487931694976057	0 2 42 44 72 74 102 104 144 146	-2735713097310
SPT(16)	3235488682912295099	0 42 54 72 92 110 120 162 182 224 234 252 272 290 302 344	-1984495778268
STPT(10)	3235488804066824819	0 2 48 50 90 92 132 134 180 182	-1863341248548
SPT(16)	3235489227526110671	0 42 50 78 156 158 188 198 200 210 240 242 320 348 356 398	-1439881962696
SPT(16)	3235489354645193167	0 36 42 54 64 82 90 186 190 286 294 312 322 334 340 376	-1312762880200
STPT(10)	3235490126767831277	0 2 42 44 72 74 102 104 144 146	-540640242090
SPT(13)	3235491057162031321	0 36 42 66 216 240 246 252 276 426 450 456 492	389753957954
STPT(12)	3235491194912992709	0 2 42 44 72 74 78 80 108 110 150 152	527504919342
STPT(12)	3235491921754680359	0 2 48 50 78 80 90 92 120 122 168 170	1254346606992
SPT(16)	3235492068043704319	0 4 78 142 148 190 198 210 232 244 252 294 300 364 438 442	1400635630952
TPT(14)	3235492322536053329	0 2 12 14 138 140 162 164 192 194 222 224 252 254	1655127979962