Prime p₀= 1117047927874416227 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1117047268587884167	0 24 34 114 154 156 210 234 286 310 364 366 406 486 496 520	-659286532060
STPT(12)	1117047273992349239	0 2 12 14 42 44 138 140 168 170 180 182	-653882066988
STPT(10)	1117047390829774697	0 2 42 44 72 74 102 104 144 146	-537044641530
STPT(10)	1117047419147970767	0 2 30 32 72 74 114 116 144 146	-508726445460
SPT(16)	1117047495516542059	0 12 28 54 70 114 120 142 150 172 178 222 238 264 280 292	-432357874168
SPT(16)	1117047695776464181	0 6 46 118 126 136 178 196 210 228 270 280 288 360 400 406	-232097952046
SPT(16)	1117047996948426703	0 40 88 156 174 184 186 196 198 208 210 220 238 306 354 394	69074010476
STPT(10)	1117048005272782859	0 2 48 50 90 92 132 134 180 182	77398366632
STPT(10)	1117048390013835491	0 2 36 38 78 80 120 122 156 158	462139419264
STPT(10)	1117049125486695431	0 2 30 32 60 62 90 92 120 122	1197612279204
SPT(16)	1117049221214213789	0 14 20 54 74 80 90 102 182 194 204 210 230 264 270 284	1293339797562