Prime p₀= 2089626934275087437 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: Conan
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2089625809615972487	0 2 30 32 72 74 114 116 144 146	-1124659114950
SPT(16)	2089625842614448361	0 12 32 68 72 110 126 138 170 182 198 236 240 276 296 308	-1091660639076
TPT(14)	2089626106263439319	0 2 42 44 90 92 288 290 342 344 420 422 582 584	-828011648118
SPT(18)	2089626267998133509	0 2 14 78 98 102 120 128 144 218 234 242 260 264 284 348 360 362	-666276953928
STPT(10)	2089626566871055151	0 2 30 32 60 62 90 92 120 122	-367404032286
SPT(16)	2089626608111314117	0 10 40 52 66 76 124 150 196 222 270 280 294 306 336 346	-326163773320
SPT(16)	2089627105926212791	0 52 66 78 102 162 186 198 220 232 256 316 340 352 366 418	171651125354
TPT(14)	2089627226628073157	0 2 42 44 54 56 114 116 174 176 180 182 210 212	292352985720
SPT(16)	2089627319545060501	0 6 66 78 90 100 136 150 166 180 216 226 238 250 310 316	385269973064
STPT(10)	2089627552724773379	0 2 48 50 90 92 132 134 180 182	618449685942
SPT(16)	2089627734621530893	0 30 66 70 76 154 160 166 168 174 180 258 264 268 304 334	800346443456