Prime p₀= 768424572309334649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Donn Pike (USAF Ret)
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	768422958279087481	0 58 60 66 100 108 196 208 240 252 340 348 382 388 390 448	-1614030247168
SPT(16)	768423025155740159	0 30 38 74 80 84 168 188 210 230 314 318 324 360 368 398	-1547153594490
STPT(10)	768423229185713987	0 2 54 56 72 74 90 92 144 146	-1343123620662
SPT(16)	768423305485055713	0 6 10 16 78 160 204 238 246 280 324 406 468 474 478 484	-1266824278936
STPT(10)	768424071461790389	0 2 48 50 60 62 72 74 120 122	-500847544260
SPT(16)	768424302870912643	0 18 28 36 54 64 70 120 124 174 180 190 208 216 226 244	-269438422006
SPT(16)	768424900587055949	0 42 84 110 168 174 188 200 222 234 248 254 312 338 380 422	328277721300
STPT(10)	768425016849767621	0 2 36 38 78 80 120 122 156 158	444540432972
STPT(10)	768425198688749219	0 2 48 50 60 62 72 74 120 122	626379414570
STPT(10)	768425538344496581	0 2 6 8 48 50 90 92 96 98	966035161932
SPT(16)	768425930096598247	0 6 22 24 60 94 102 112 144 154 162 196 232 234 250 256	1357787263598