Prime p₀= 2159813490250911137 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(18)	2159811152736493303	0 6 54 76 84 130 144 160 214 216 270 286 300 346 354 376 424 430	-2337514417834
STPT(10)	2159811751977915197	0 2 30 32 42 44 54 56 84 86	-1738272995940
SPT(16)	2159811868571231209	0 24 34 40 58 84 90 100 108 118 124 150 168 174 184 208	-1621679679928
STPT(12)	2159812501994074481	0 2 30 32 78 80 288 290 336 338 366 368	-988256836656
SPT(16)	2159812590316307183	0 8 14 20 50 78 104 138 176 210 236 264 294 300 306 314	-899934603954
TPT(14)	2159813349812531969	0 2 48 50 78 80 138 140 210 212 252 254 288 290	-140438379168
SPT(16)	2159813626772735929	0 52 78 102 112 142 190 210 220 240 288 318 328 352 378 430	136521824792
SPT(16)	2159813674576162457	0 12 14 62 90 116 132 144 152 164 180 206 234 282 284 296	184325251320
SPT(16)	2159813688103955927	0 2 14 50 54 66 80 116 120 156 170 182 186 222 234 236	197853044790
STPT(10)	2159813768888805941	0 2 6 8 18 20 30 32 36 38	278637894804
STPT(10)	2159813789539935869	0 2 18 20 30 32 42 44 60 62	299289024732