Prime p₀= 2234301750185833511 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Penguin
db: batch=81, k=10, 2 124 2 10 2

SPT(16)	2234298327391176547	0 22 30 40 64 72 76 96 100 120 124 132 156 166 174 196	-3422794656964
SPT(16)	2234298791363822137	0 52 82 84 100 126 136 154 162 180 190 216 232 234 264 316	-2958822011374
SPT(16)	2234299753921400537	0 50 60 92 114 180 254 294 422 462 536 602 624 656 666 716	-1996264432974
STPT(10)	2234300001547094177	0 2 54 56 72 74 90 92 144 146	-1748638739334
SPT(16)	2234300800417066793	0 14 26 44 60 66 96 114 140 158 188 194 210 228 240 254	-949768766718
STPT(10)	2234301299888909099	0 2 30 32 60 62 90 92 120 122	-450296924412
SPT(16)	2234302507759241467	0 42 70 136 142 150 172 196 216 240 262 270 276 342 370 412	757573407956
TPT(14)	2234302765311248459	0 2 18 20 42 44 60 62 90 92 120 122 168 170	1015125414948
STPT(10)	2234303148324722771	0 2 6 8 18 20 30 32 36 38	1398138889260
SPT(16)	2234303172475211401	0 18 72 82 100 102 232 238 240 246 376 378 396 406 460 478	1422289377890
TPT(14)	2234303222591756711	0 2 36 38 66 68 90 92 126 128 150 152 246 248	1472405923200