Prime p₀= 1678612875605923247 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: conf [MM]
db: batch=79, k=10, 2 10 2 58 2

SPT(16)	1678611029437611377	0 36 86 104 114 170 194 240 320 366 390 446 456 474 524 560	-1846168311870
STPT(10)	1678611051945994289	0 2 12 14 30 32 48 50 60 62	-1823659928958
SPT(16)	1678611201167725801	0 28 88 138 166 226 238 246 292 300 312 372 400 450 510 538	-1674438197446
SPT(16)	1678611597730428437	0 30 44 114 140 164 170 174 182 186 192 216 242 312 326 356	-1277875494810
SPT(16)	1678612382758084847	0 2 6 54 66 72 86 182 204 300 314 320 332 380 384 386	-492847838400
SPT(16)	1678612765294525843	0 46 60 214 228 234 238 250 264 276 280 286 300 454 468 514	-110311397404
SPT(16)	1678612989053771497	0 46 82 90 126 130 202 216 220 234 306 310 346 354 390 436	113447848250
SPT(16)	1678613156265457133	0 24 38 50 54 56 66 96 98 128 138 140 144 156 170 194	280659533886
SPT(16)	1678613369410312831	0 6 18 30 46 52 100 130 138 168 216 222 238 250 262 268	493804389584
STPT(10)	1678613398964362697	0 2 42 44 72 74 102 104 144 146	523358439450
SPT(16)	1678613442572940583	0 10 30 34 108 118 120 156 238 274 276 286 360 364 384 394	566967017336