Prime p₀= 2261241558601035077 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: Orange Kid
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2261240560977598051	0 52 60 66 76 78 82 112 186 216 220 222 232 238 246 298	-997623437026
TPT(14)	2261240656739538491	0 2 90 92 108 110 180 182 210 212 246 248 330 332	-901861496586
SPT(16)	2261240781230336771	0 48 62 180 192 210 258 272 306 320 368 386 398 516 530 578	-777370698306
SPT(16)	2261240800785701101	0 16 30 58 78 96 112 162 196 246 262 280 300 328 342 358	-757815333976
STPT(10)	2261240948442038741	0 2 6 8 48 50 90 92 96 98	-610158996336
SPT(16)	2261241310376047537	0 10 16 24 82 124 126 136 270 280 282 324 382 390 396 406	-248224987540
STPT(10)	2261241757758323519	0 2 12 14 90 92 168 170 180 182	199157288442
STPT(10)	2261242739973921437	0 2 24 26 42 44 60 62 84 86	1181372886360
SPT(16)	2261242868527502039	0 12 98 110 122 134 138 140 162 164 168 180 192 204 290 302	1309926466962
SPT(16)	2261242914127080421	0 58 72 88 130 132 142 150 178 186 196 198 240 256 270 328	1355526045344
SPT(16)	2261243566036999849	0 22 54 70 120 154 172 180 214 222 240 274 324 340 372 394	2007435964772