Prime p₀= 1014275397718104407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Spectrum
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1014273140978529001	0 52 72 82 138 148 162 168 220 226 240 250 306 316 336 388	-2256739575406
SPT(16)	1014273528059926447	0 24 34 54 66 76 106 124 132 150 180 190 202 222 232 256	-1869658177960
SPT(16)	1014273828858737507	0 20 30 42 62 140 152 156 296 300 312 390 410 422 432 452	-1568859366900
STPT(10)	1014273850206680849	0 2 30 32 60 62 90 92 120 122	-1547511423558
SPT(16)	1014274121968659413	0 14 26 68 110 120 158 186 218 246 284 294 336 378 390 404	-1275749444994
SPT(16)	1014274356059047789	0 12 52 90 102 172 198 202 318 322 348 418 430 468 508 520	-1041659056618
STPT(10)	1014275754545922497	0 2 30 32 72 74 114 116 144 146	356827818090
SPT(16)	1014275867039098553	0 38 44 50 126 140 158 198 206 246 264 278 354 360 366 404	469320994146
STPT(10)	1014275936202567131	0 2 30 32 60 62 90 92 120 122	538484462724
STPT(10)	1014276091914478829	0 2 42 44 60 62 78 80 120 122	694196374422
TPT(14)	1014276605486057651	0 2 36 38 48 50 108 110 138 140 150 152 216 218	1207767953244