Prime p₀= 2052901244174771057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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 10 2 58 2

SPT(16)	2052899669648174801	0 18 32 60 150 152 158 168 182 192 198 200 290 318 332 350	-1574526596256
TPT(14)	2052900117961070291	0 2 6 8 60 62 90 92 138 140 156 158 168 170	-1126213700766
SPT(16)	2052900130275072779	0 24 32 38 44 50 78 114 338 374 402 408 414 420 428 452	-1113899698278
SPT(16)	2052900631656013417	0 10 22 64 66 76 94 132 274 312 330 340 342 384 396 406	-612518757640
SPT(16)	2052900849472239059	0 2 24 44 62 90 182 194 210 222 314 342 360 380 402 404	-394702531998
SPT(16)	2052901174938732563	0 14 44 54 84 96 168 228 266 326 398 410 440 450 480 494	-69236038494
SPT(16)	2052901348133190991	0 22 46 72 88 150 178 190 198 210 238 300 316 342 366 388	103958419934
STPT(10)	2052902096530162907	0 2 12 14 42 44 72 74 84 86	852355391850
SPT(16)	2052902183256224933	0 14 50 78 96 146 156 164 180 188 198 248 266 294 330 344	939081453876
STPT(10)	2052902391991576427	0 2 30 32 42 44 54 56 84 86	1147816805370
TPT(14)	2052902845379997881	0 2 6 8 18 20 48 50 228 230 240 242 270 272	1601205226824