Prime p₀= 3008789154879365087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3008787569425602281	0 20 50 78 92 116 168 228 230 290 342 366 380 408 438 458	-1585453762806
SPT(16)	3008787595497733237	0 6 42 52 82 112 136 172 180 216 240 270 300 310 346 352	-1559381631850
SPT(16)	3008787823657169443	0 94 96 114 168 234 240 264 310 334 340 406 460 478 480 574	-1331222195644
STPT(10)	3008788827361330751	0 2 78 80 108 110 138 140 216 218	-327518034336
STPT(10)	3008788937799213419	0 2 48 50 90 92 132 134 180 182	-217080151668
STPT(10)	3008789148931600607	0 2 24 26 42 44 60 62 84 86	-5947764480
SPT(16)	3008789161896702733	0 48 54 70 90 150 154 168 190 204 208 268 288 304 310 358	7017337646
SPT(16)	3008789354935803293	0 126 150 164 210 260 264 306 374 416 420 470 516 530 554 680	200056438206
STPT(10)	3008789591182014977	0 2 30 32 42 44 54 56 84 86	436302649890
SPT(16)	3008790883226709277	0 22 90 102 114 120 154 204 250 300 334 340 352 364 432 454	1728347344190
SPT(16)	3008790982652130047	0 12 30 32 42 60 74 86 150 162 176 194 204 206 224 236	1827772764960