Prime p₀= 2744582654398129547 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2744580437358038423	0 6 20 36 50 60 126 144 170 188 254 264 278 294 308 314	-2217040091124
SPT(16)	2744580728009159887	0 40 60 70 72 136 220 240 262 282 366 430 432 442 462 502	-1926388969660
SPT(18)	2744580913841668073	0 54 60 68 78 90 98 104 126 278 300 306 314 326 336 344 350 404	-1740556461474
STPT(12)	2744581521208064387	0 2 24 26 42 44 132 134 150 152 174 176	-1133190065160
SPT(16)	2744581755055611827	0 12 30 42 44 54 132 180 284 332 410 420 422 434 452 464	-899342517720
SPT(16)	2744581981011357647	0 20 26 90 96 102 114 116 180 182 194 200 206 270 276 296	-673386771900
SPT(16)	2744582892354444833	0 20 86 126 138 156 186 224 240 278 308 326 338 378 444 464	237956315286
SPT(16)	2744582909349479039	0 2 24 72 80 114 128 164 168 204 218 252 260 308 330 332	254951349492
STPT(10)	2744582933951267579	0 2 18 20 30 32 42 44 60 62	279553138032
SPT(16)	2744583443528120041	0 46 82 108 136 138 156 190 228 262 280 282 310 336 372 418	789129990494
TPT(14)	2744583484292005799	0 2 42 44 60 62 78 80 120 122 258 260 282 284	829893876252