Prime p₀= 1127459592019605539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: crashtech
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1127457208280149753	0 10 28 66 76 84 90 100 144 154 160 168 178 216 234 244	-2383739455786
STPT(10)	1127457397501909007	0 2 30 32 120 122 210 212 240 242	-2194517696532
TPT(14)	1127457568160358959	0 2 42 44 60 62 102 104 240 242 252 254 270 272	-2023859246580
STPT(10)	1127458323227053001	0 2 30 32 60 62 90 92 120 122	-1268792552538
SPT(16)	1127458699731192043	0 24 54 66 96 120 190 196 288 294 364 388 418 430 460 484	-892288413496
SPT(16)	1127459336479553641	0 18 40 70 72 82 130 156 172 198 246 256 258 288 310 328	-255540051898
SPT(16)	1127460348269855837	0 42 84 102 152 180 222 224 282 284 326 354 404 422 464 506	756250250298
STPT(10)	1127460398200043261	0 2 6 8 48 50 90 92 96 98	806180437722
TPT(14)	1127460738033471419	0 2 90 92 132 134 198 200 282 284 312 314 342 344	1146013865880
SPT(16)	1127461286182959991	0 16 22 48 70 76 82 118 120 156 162 168 190 216 222 238	1694163354452
SPT(16)	1127462093349774197	0 14 42 54 56 110 144 186 200 242 276 330 332 344 372 386	2501330168658