Prime p₀= 2246038366733985581 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: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2246036941153432121	0 18 36 48 60 78 120 122 126 128 170 188 200 212 230 248	-1425580553460
SPT(16)	2246037297975176999	0 24 108 150 174 182 264 270 272 278 360 368 392 434 518 542	-1068758808582
STPT(10)	2246037456425793827	0 2 30 32 42 44 54 56 84 86	-910308191754
SPT(16)	2246037549415069297	0 10 30 34 54 84 90 94 156 160 166 196 216 220 240 250	-817318916284
SPT(16)	2246037937755689149	0 4 28 64 130 168 174 220 252 298 304 342 408 444 468 472	-428978296432
SPT(16)	2246038323879046637	0 6 20 26 42 96 134 162 194 222 260 314 330 336 350 356	-42854938944
SPT(16)	2246038464703382927	0 12 26 86 92 96 110 116 180 186 200 204 210 270 284 296	97969397346
STPT(10)	2246038863114789929	0 2 18 20 30 32 42 44 60 62	496380804348
SPT(16)	2246038932902268499	0 30 58 94 108 112 118 120 142 144 150 154 168 204 232 262	566168282918
SPT(16)	2246039251253533013	0 20 38 48 78 104 120 150 158 188 204 230 260 270 288 308	884519547432
SPT(16)	2246039694953710961	0 12 30 60 68 78 92 110 120 138 152 162 170 200 218 230	1328219725380