Prime p₀= 1120125766666850789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1120124524347258559	0 24 34 48 72 78 94 112 120 138 154 160 184 198 208 232	-1242319592230
SPT(16)	1120124548261383017	0 20 42 66 80 84 104 114 122 132 152 156 170 194 216 236	-1218405467772
STPT(10)	1120124641497201407	0 2 12 14 72 74 132 134 144 146	-1125169649382
STPT(10)	1120124760115699517	0 2 90 92 132 134 174 176 264 266	-1006551151272
STPT(10)	1120125016544752079	0 2 78 80 120 122 162 164 240 242	-750122098710
STPT(10)	1120125300031922939	0 2 18 20 30 32 42 44 60 62	-466634927850
TPT(14)	1120125768812253779	0 2 30 32 132 134 198 200 252 254 288 290 342 344	2145402990
STPT(10)	1120125788432869451	0 2 36 38 78 80 120 122 156 158	21766018662
SPT(16)	1120125941417974867	0 6 24 94 102 154 160 166 180 186 192 244 252 322 340 346	174751124078
SPT(16)	1120126431842886527	0 2 12 30 42 72 80 86 90 96 104 134 146 164 174 176	665176035738
STPT(10)	1120126434653944187	0 2 30 32 42 44 54 56 84 86	667987093398