Prime p₀= 3213033507465990797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Hightower
db: batch=83, k=10, 2 28 2 10 2

SPT(16)	3213032254886958667	0 10 30 66 192 232 304 330 346 372 444 484 610 646 666 676	-1252579032130
TPT(14)	3213032533933799831	0 2 18 20 90 92 210 212 216 218 330 332 336 338	-973532190966
SPT(16)	3213032971361474509	0 24 52 72 154 208 210 222 250 262 264 318 400 420 448 472	-536104516288
TPT(14)	3213033010445686817	0 2 54 56 72 74 114 116 174 176 180 182 312 314	-497020303980
SPT(16)	3213033445741793291	0 8 36 38 50 60 66 78 128 140 146 156 168 170 198 206	-61724197506
STPT(10)	3213033468838268357	0 2 42 44 72 74 102 104 144 146	-38627722440
SPT(16)	3213034381920187217	0 24 30 32 42 44 66 126 320 380 402 404 414 416 422 446	874454196420
SPT(16)	3213034490035104961	0 18 46 70 102 142 160 178 210 228 246 286 318 342 370 388	982569114164
STPT(12)	3213034581377742941	0 2 78 80 138 140 150 152 210 212 288 290	1073911752144
STPT(10)	3213034786292207879	0 2 30 32 60 62 90 92 120 122	1278826217082
SPT(16)	3213034897315432949	0 48 134 170 174 182 194 240 242 288 300 308 312 348 434 482	1389849442152