Prime p₀= 4506331895697308819 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: [SG]KidDoesCrunch
db: batch=85, k=10, 2 16 2 10 2

SPT(16)	4506330418708076489	0 12 20 38 42 68 98 122 168 192 222 248 252 270 278 290	-1476989232330
SPT(16)	4506330643502727731	0 6 98 110 126 138 152 158 180 186 200 212 228 240 332 338	-1252194581088
SPT(16)	4506330745795613419	0 12 18 28 40 42 54 58 84 88 100 102 114 124 130 142	-1149901695400
SPT(16)	4506330861353709359	0 2 48 54 80 114 168 170 252 254 308 342 368 374 420 422	-1034343599460
SPT(16)	4506331444618067473	0 34 66 78 84 106 118 210 244 336 348 370 376 388 420 454	-451079241346
STPT(10)	4506331751716911239	0 2 12 14 30 32 48 50 60 62	-143980397580
STPT(10)	4506332231626685417	0 2 24 26 42 44 60 62 84 86	335929376598
SPT(16)	4506332397960744569	0 44 54 72 92 110 150 158 204 212 252 270 290 308 318 362	502263435750
STPT(10)	4506332484459242189	0 2 18 20 30 32 42 44 60 62	588761933370
SPT(16)	4506332704405678373	0 44 54 66 86 96 104 156 248 300 308 318 338 350 360 404	808708369554
SPT(16)	4506332710320798233	0 18 38 66 78 108 128 158 258 288 308 338 350 378 398 416	814623489414