Prime p₀= 740718171603397199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Theadalus
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	740717130507769609	0 60 94 102 132 148 162 172 210 220 234 250 280 288 322 382	-1041095627590
SPT(16)	740717460554411311	0 58 76 90 108 112 126 132 136 142 156 160 178 192 210 268	-711048985888
SPT(16)	740717536391661181	0 12 36 48 90 106 108 138 190 220 222 238 280 292 316 328	-635211736018
STPT(10)	740717740713076067	0 2 30 32 42 44 54 56 84 86	-430890321132
STPT(10)	740717826746148707	0 2 30 32 42 44 54 56 84 86	-344857248492
TPT(14)	740718102581415227	0 2 24 26 150 152 162 164 174 176 192 194 222 224	-69021981972
SPT(16)	740718624030223577	0 32 44 96 110 126 140 162 194 216 230 246 260 312 324 356	452426826378
STPT(12)	740718944651760119	0 2 12 14 42 44 48 50 78 80 90 92	773048362920
STPT(10)	740718954559784111	0 2 6 8 18 20 30 32 36 38	782956386912
SPT(16)	740719489630300087	0 22 24 36 46 52 76 94 102 120 144 150 160 172 174 196	1318026902888
STPT(10)	740720118875394809	0 2 48 50 90 92 132 134 180 182	1947271997610