Prime p₀= 729069192353736989 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: MarkRBright
db: batch=73, k=10, 2 16 2 10 2

TPT(14)	729068044415797517	0 2 30 32 60 62 222 224 264 266 384 386 474 476	-1147937939472
SPT(16)	729068099656438063	0 18 40 54 78 114 156 184 210 238 280 316 340 354 376 394	-1092697298926
SPT(16)	729068644117066753	0 36 40 58 64 78 90 126 148 184 196 210 216 234 238 274	-548236670236
STPT(10)	729068882282328491	0 2 36 38 78 80 120 122 156 158	-310071408498
STPT(10)	729068970940483037	0 2 42 44 72 74 102 104 144 146	-221413253952
SPT(16)	729069073085295473	0 18 24 128 164 194 216 264 410 458 480 510 546 650 656 674	-119268441516
TPT(14)	729069202995295289	0 2 12 14 72 74 162 164 240 242 252 254 318 320	10641558300
STPT(10)	729069469169008577	0 2 30 32 42 44 54 56 84 86	276815271588
SPT(20)	729069739917760529	0 8 12 60 92 122 138 182 210 222 248 260 288 332 348 378 410 458 462 470	547564023540
STPT(10)	729070392182406689	0 2 18 20 30 32 42 44 60 62	1199828669700
SPT(18)	729070416925528967	0 2 42 86 126 132 144 182 186 200 204 242 254 260 300 344 384 386	1224571791978