Prime p₀= 4276902545592799037 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: Stony666
db: batch=85, k=10, 2 22 2 16 2

TPT(14)	4276900939167004121	0 2 96 98 108 110 180 182 198 200 210 212 330 332	-1606425794916
SPT(16)	4276901011613969507	0 26 32 42 60 80 116 146 186 216 252 272 290 300 306 332	-1533978829530
STPT(10)	4276901054211847049	0 2 18 20 30 32 42 44 60 62	-1491380951988
SPT(16)	4276901176439964103	0 64 96 100 124 126 174 196 204 226 274 276 300 304 336 400	-1369152834934
SPT(16)	4276901312267246479	0 12 24 42 64 84 88 108 124 144 148 168 190 208 220 232	-1233325552558
STPT(10)	4276901486364923957	0 2 30 32 72 74 114 116 144 146	-1059227875080
SPT(20)	4276902961160113079	0 12 38 50 78 102 110 138 152 158 252 258 272 300 308 332 360 372 398 410	415567314042
TPT(14)	4276903529108988989	0 2 30 32 78 80 168 170 180 182 198 200 222 224	983516189952
SPT(16)	4276903720358567099	0 54 102 104 152 174 180 200 204 224 230 252 300 302 350 404	1174765768062
SPT(16)	4276903806984955441	0 18 28 72 78 88 96 120 148 172 180 190 196 240 250 268	1261392156404
STPT(10)	4276904082288275507	0 2 24 26 42 44 60 62 84 86	1536695476470