Prime p₀= 740720674088789489 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: Theadalus
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	740718624030223577	0 32 44 96 110 126 140 162 194 216 230 246 260 312 324 356	-2050058565912
STPT(12)	740718944651760119	0 2 12 14 42 44 48 50 78 80 90 92	-1729437029370
STPT(10)	740718954559784111	0 2 6 8 18 20 30 32 36 38	-1719529005378
SPT(16)	740719489630300087	0 22 24 36 46 52 76 94 102 120 144 150 160 172 174 196	-1184458489402
STPT(10)	740720118875394809	0 2 48 50 90 92 132 134 180 182	-555213394680
SPT(16)	740720139813406847	0 30 44 54 66 96 152 164 222 234 290 320 332 342 356 386	-534275382642
SPT(16)	740720763856449769	0 4 18 30 64 84 138 142 150 154 208 228 262 274 288 292	89767660280
STPT(10)	740721069821322971	0 2 78 80 108 110 138 140 216 218	395732533482
STPT(10)	740721188616327167	0 2 30 32 42 44 54 56 84 86	514527537678
SPT(16)	740721244467109837	0 16 42 54 70 72 84 96 130 142 154 156 172 184 210 226	570378320348
SPT(16)	740721380290858289	0 24 44 74 102 164 192 212 222 242 270 332 360 390 410 434	706202068800