Prime p₀= 2098637679055347107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=80, k=10, 2 10 2 28 2

SPT(16)	2098636484809822357	0 10 22 30 72 114 154 162 184 192 232 274 316 324 336 346	-1194245524750
SPT(16)	2098636504525592543	0 18 54 56 116 140 150 168 176 194 204 228 288 290 326 344	-1174529754564
SPT(16)	2098636634137726409	0 2 18 30 38 60 80 104 108 132 152 174 182 194 210 212	-1044917620698
SPT(16)	2098636670627385011	0 8 26 56 96 110 120 140 216 236 246 260 300 330 348 356	-1008427962096
SPT(16)	2098636809470254399	0 10 118 124 142 192 222 234 268 280 310 360 378 384 492 502	-869585092708
STPT(10)	2098637337473907077	0 2 12 14 42 44 72 74 84 86	-341581440030
STPT(10)	2098637993114906387	0 2 60 62 72 74 84 86 144 146	314059559280
SPT(16)	2098638003345441119	0 18 44 74 90 144 150 158 174 182 188 242 258 288 314 332	324290094012
SPT(16)	2098638004814243993	0 44 50 66 74 80 198 276 308 386 504 510 518 534 540 584	325758896886
SPT(16)	2098638130771150711	0 12 18 30 42 66 72 88 120 136 142 166 178 190 196 208	451715803604
STPT(10)	2098638141324936941	0 2 36 38 78 80 120 122 156 158	462269589834