Prime p₀= 2079293635199498687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 52 2 16 2

SPT(16)	2079291709164218707	0 4 42 46 60 82 130 162 214 246 294 316 330 334 372 376	-1926035279980
SPT(16)	2079291752814997703	0 8 30 48 78 104 140 168 176 204 240 266 296 314 336 344	-1882384500984
SPT(16)	2079292502654869393	0 34 40 66 90 114 150 154 180 184 220 244 268 294 300 334	-1132544629294
SPT(16)	2079292779655274861	0 56 60 72 126 150 156 186 212 242 248 272 326 338 342 398	-855544223826
STPT(10)	2079292978575870131	0 2 6 8 48 50 90 92 96 98	-656623628556
SPT(16)	2079293018767282397	0 50 56 84 102 120 140 156 170 186 206 224 242 270 276 326	-616432216290
SPT(16)	2079293648858860429	0 30 34 52 58 78 118 130 132 144 184 204 210 228 232 262	13659361742
SPT(16)	2079293886115028491	0 16 72 100 108 150 192 198 250 256 298 340 348 376 432 448	250915529804
SPT(16)	2079294274219053109	0 18 22 30 54 60 88 138 214 264 292 298 322 330 334 352	639019554422
SPT(16)	2079295122686075761	0 36 88 150 172 190 192 216 232 256 258 276 298 360 412 448	1487486577074
SPT(16)	2079295396923802147	0 4 10 24 54 76 102 160 186 244 270 292 322 336 342 346	1761724303460