Prime p₀= 3006668803153703717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG]ATA-Rolf
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3006667109905453457	0 12 24 50 60 110 144 162 242 260 294 344 354 380 392 404	-1693248250260
STPT(10)	3006668366462603537	0 2 30 32 60 62 90 92 120 122	-436691100180
TPT(16)	3006668490412684457	0 2 162 164 204 206 252 254 360 362 384 386 414 416 624 626	-312741019260
STPT(10)	3006668613059239109	0 2 18 20 60 62 102 104 120 122	-190094464608
STPT(10)	3006668628597888251	0 2 6 8 48 50 90 92 96 98	-174555815466
SPT(16)	3006668638707434863	0 24 30 60 88 114 166 178 186 198 250 276 304 334 340 364	-164446268854
SPT(16)	3006668820543540017	0 12 24 32 90 140 152 162 332 342 354 404 462 470 482 494	17389836300
STPT(10)	3006668840372881499	0 2 12 14 30 32 48 50 60 62	37219177782
SPT(16)	3006669002731610357	0 12 14 72 96 120 122 140 276 294 296 320 344 402 404 416	199577906640
SPT(16)	3006669068968259957	0 62 80 114 120 122 126 132 164 170 174 176 182 216 234 296	265814556240
STPT(10)	3006669181719645047	0 2 12 14 72 74 132 134 144 146	378565941330