Prime p₀= 740818617395736767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	740818001479949111	0 12 26 36 50 116 132 138 140 146 162 228 242 252 266 278	-615915787656
SPT(16)	740818281080551249	0 42 142 148 174 192 220 228 244 252 280 298 324 330 430 472	-336315185518
STPT(10)	740818355995158797	0 2 42 44 72 74 102 104 144 146	-261400577970
SPT(16)	740818449531305011	0 12 18 40 48 52 118 132 136 150 216 220 228 250 256 268	-167864431756
SPT(16)	740818491528896317	0 42 76 96 102 106 120 130 162 172 186 190 196 216 250 292	-125866840450
SPT(16)	740818550081534657	0 12 14 42 90 104 182 230 306 354 432 446 494 522 524 536	-67314202110
SPT(16)	740818796106163081	0 10 52 82 112 142 196 220 282 306 360 390 420 450 492 502	178710426314
STPT(10)	740819044816596869	0 2 12 14 30 32 48 50 60 62	427420860102
STPT(10)	740819093112848777	0 2 30 32 42 44 54 56 84 86	475717112010
SPT(16)	740819343586217507	0 2 42 72 80 122 126 152 234 260 264 306 314 344 384 386	726190480740
STPT(10)	740819925499318331	0 2 6 8 18 20 30 32 36 38	1308103581564