Prime p₀= 2159805511397197421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2159803821803119147	0 60 76 82 84 90 112 130 216 234 256 262 264 270 286 346	-1689594078274
STPT(10)	2159804091080918507	0 2 30 32 42 44 54 56 84 86	-1420316278914
STPT(10)	2159804199976930217	0 2 12 14 42 44 72 74 84 86	-1311420267204
STPT(10)	2159804345939943851	0 2 30 32 78 80 126 128 156 158	-1165457253570
SPT(16)	2159804631860015893	0 46 60 64 70 76 90 120 124 154 168 174 180 184 198 244	-879537181528
STPT(10)	2159805240996610307	0 2 60 62 72 74 84 86 144 146	-270400587114
SPT(16)	2159805699397846039	0 30 60 82 112 190 192 222 238 268 270 348 378 400 430 460	188000648618
SPT(16)	2159805862523761093	0 36 48 64 70 78 90 96 148 154 166 174 180 196 208 244	351126563672
STPT(10)	2159805916689111527	0 2 12 14 72 74 132 134 144 146	405291914106
STPT(10)	2159806056494416529	0 2 12 14 90 92 168 170 180 182	545097219108
STPT(10)	2159806123442097761	0 2 36 38 78 80 120 122 156 158	612044900340