Prime p₀= 775683306425674037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG]FX
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	775682025947138357	0 6 14 20 26 42 50 92 144 186 194 210 216 222 230 236	-1280478535680
STPT(10)	775682201401232537	0 2 24 26 42 44 60 62 84 86	-1105024441500
SPT(16)	775682586485622073	0 4 18 60 66 88 130 156 208 234 276 298 304 346 360 364	-719940051964
SPT(16)	775682878259903063	0 36 84 98 128 198 204 218 246 260 266 336 366 380 428 464	-428165770974
SPT(16)	775683122260972271	0 12 20 26 30 66 78 86 132 140 152 188 192 198 206 218	-184164701766
TPT(14)	775683191688337727	0 2 12 14 54 56 60 62 90 92 132 134 174 176	-114737336310
STPT(10)	775683439284591569	0 2 42 44 90 92 138 140 180 182	132858917532
SPT(16)	775683513444431791	0 28 36 106 156 160 190 196 240 246 276 280 330 400 408 436	207018757754
SPT(18)	775683568276367389	0 4 30 42 70 100 132 172 192 220 240 280 312 342 370 382 408 412	261850693352
STPT(10)	775683611029960049	0 2 18 20 30 32 42 44 60 62	304604286012
STPT(10)	775683627169911881	0 2 36 38 78 80 120 122 156 158	320744237844