Prime p₀= 2857750150628976467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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=82, k=10, 2 40 2 28 2

TPT(14)	2857748815010786897	0 2 30 32 144 146 222 224 264 266 324 326 384 386	-1335618189570
TPT(14)	2857748970911174687	0 2 12 14 72 74 84 86 144 146 252 254 354 356	-1179717801780
STPT(10)	2857748980107461849	0 2 12 14 90 92 168 170 180 182	-1170521514618
SPT(16)	2857749021824943853	0 36 40 76 94 138 180 204 220 244 286 330 348 384 388 424	-1128804032614
SPT(16)	2857749407105327671	0 70 96 100 156 186 198 228 238 268 280 310 366 370 396 466	-743523648796
STPT(10)	2857749667454866799	0 2 18 20 30 32 42 44 60 62	-483174109668
SPT(16)	2857750344918968593	0 24 28 66 70 76 100 124 150 174 198 204 208 246 250 274	194289992126
STPT(10)	2857750980669744527	0 2 30 32 42 44 54 56 84 86	830040768060
STPT(10)	2857751163253086521	0 2 36 38 78 80 120 122 156 158	1012624110054
STPT(10)	2857751368863641351	0 2 6 8 48 50 90 92 96 98	1218234664884
SPT(16)	2857751517489610409	0 38 84 92 128 132 174 254 258 338 380 384 420 428 474 512	1366860633942