Prime p₀= 782357830603899029 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: marmot
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	782356816321997899	0 28 30 34 42 72 90 94 258 262 280 310 318 322 324 352	-1014281901130
SPT(16)	782356918170659683	0 4 10 24 34 40 88 124 174 210 258 264 274 288 294 298	-912433239346
STPT(10)	782357006228881841	0 2 6 8 18 20 30 32 36 38	-824375017188
STPT(10)	782357290471213979	0 2 18 20 30 32 42 44 60 62	-540132685050
SPT(18)	782357721049749851	0 30 42 86 110 146 152 200 206 216 222 270 276 312 336 380 392 422	-109554149178
STPT(10)	782357814114843719	0 2 18 20 30 32 42 44 60 62	-16489055310
SPT(16)	782357872431066037	0 40 66 124 196 210 234 240 250 256 280 294 366 424 450 490	41827167008
STPT(10)	782358276804721229	0 2 18 20 30 32 42 44 60 62	446200822200
SPT(16)	782358368046692191	0 6 18 76 130 150 156 186 250 280 286 306 360 418 430 436	537442793162
STPT(10)	782358424806870521	0 2 36 38 78 80 120 122 156 158	594202971492
STPT(12)	782358544624672019	0 2 30 32 42 44 90 92 102 104 132 134	714020772990