Prime p₀= 2004152715852457061 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: Landjunge
db: batch=80, k=10, 2 46 2 58 2

SPT(16)	2004150764449032841	0 70 108 118 130 178 202 208 222 228 252 300 312 322 360 430	-1951403424220
STPT(10)	2004150883653088991	0 2 6 8 18 20 30 32 36 38	-1832199368070
SPT(16)	2004151313491338953	0 6 36 50 56 74 96 126 278 308 330 348 354 368 398 404	-1402361118108
SPT(16)	2004151426401112099	0 12 82 90 102 118 124 130 132 138 144 160 172 180 250 262	-1289451344962
STPT(10)	2004151524687750671	0 2 30 32 78 80 126 128 156 158	-1191164706390
STPT(10)	2004152596989867167	0 2 30 32 42 44 54 56 84 86	-118862589894
STPT(10)	2004152742157225349	0 2 18 20 30 32 42 44 60 62	26304768288
STPT(10)	2004152924443007621	0 2 6 8 48 50 90 92 96 98	208590550560
STPT(10)	2004152937670256627	0 2 42 44 72 74 102 104 144 146	221817799566
SPT(16)	2004153359105328313	0 54 58 60 130 138 154 156 238 240 256 264 334 336 340 394	643252871252
SPT(16)	2004153378147946283	0 30 74 90 98 104 108 110 144 146 150 156 164 180 224 254	662295489222