Prime p₀= 2299188272082050717 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2299187282648716637	0 2 90 92 102 104 114 116 204 206	-989433334080
TPT(14)	2299187368055649557	0 2 12 14 180 182 204 206 300 302 330 332 342 344	-904026401160
SPT(16)	2299187573670459151	0 40 42 72 82 136 142 192 196 246 252 306 316 346 348 388	-698411591566
STPT(10)	2299187818915454567	0 2 42 44 72 74 102 104 144 146	-453166596150
TPT(14)	2299188027113405297	0 2 102 104 114 116 174 176 204 206 240 242 282 284	-244968645420
SPT(16)	2299188204513229801	0 18 28 30 48 72 102 156 232 286 316 340 358 360 370 388	-67568820916
SPT(16)	2299188969233228057	0 6 44 56 122 126 144 212 294 362 380 384 450 462 500 506	697151177340
SPT(16)	2299189005709416679	0 22 78 88 102 118 132 138 154 160 174 190 204 214 270 292	733627365962
STPT(10)	2299189683172193477	0 2 30 32 42 44 54 56 84 86	1411090142760
SPT(16)	2299189741419025453	0 88 108 120 124 130 150 160 264 274 294 300 304 316 336 424	1469336974736
STPT(10)	2299189971339595427	0 2 30 32 60 62 90 92 120 122	1699257544710