Prime p₀= 740819093112848777 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	740818449531305011	0 12 18 40 48 52 118 132 136 150 216 220 228 250 256 268	-643581543766
SPT(16)	740818491528896317	0 42 76 96 102 106 120 130 162 172 186 190 196 216 250 292	-601583952460
SPT(16)	740818550081534657	0 12 14 42 90 104 182 230 306 354 432 446 494 522 524 536	-543031314120
STPT(10)	740818617395736767	0 2 24 26 42 44 60 62 84 86	-475717112010
SPT(16)	740818796106163081	0 10 52 82 112 142 196 220 282 306 360 390 420 450 492 502	-297006685696
STPT(10)	740819044816596869	0 2 12 14 30 32 48 50 60 62	-48296251908
SPT(16)	740819343586217507	0 2 42 72 80 122 126 152 234 260 264 306 314 344 384 386	250473368730
STPT(10)	740819925499318331	0 2 6 8 18 20 30 32 36 38	832386469554
STPT(10)	740820187089115499	0 2 42 44 60 62 78 80 120 122	1093976266722
SPT(16)	740820543820423877	0 20 24 44 96 122 126 140 156 170 174 200 252 272 276 296	1450707575100
SPT(16)	740820651092417689	0 24 34 54 78 82 84 94 138 148 150 154 178 198 208 232	1557979568912