Prime p₀= 1233810435419875679 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: Theadalus
db: batch=77, k=10, 2 40 2 16 2

TPT(14)	1233809894935415639	0 2 78 80 132 134 252 254 282 284 288 290 420 422	-540484460040
STPT(10)	1233810106403150399	0 2 12 14 30 32 48 50 60 62	-329016725280
SPT(16)	1233810198600936233	0 6 30 110 180 224 228 258 266 296 300 344 414 494 518 524	-236818939446
SPT(16)	1233810201184914763	0 36 54 120 124 126 138 156 238 256 268 270 274 340 358 394	-234234960916
SPT(16)	1233810282499218509	0 2 50 68 72 120 134 140 222 228 242 290 294 312 360 362	-152920657170
SPT(16)	1233810328366866737	0 12 90 126 146 194 204 222 224 242 252 300 320 356 434 446	-107053008942
STPT(10)	1233810762295642757	0 2 30 32 72 74 114 116 144 146	326875767078
STPT(10)	1233810962357025719	0 2 18 20 30 32 42 44 60 62	526937150040
SPT(16)	1233811036817811323	0 6 26 84 126 134 144 156 158 170 180 188 230 288 308 314	601397935644
SPT(16)	1233811214593333231	0 60 88 102 118 142 190 192 196 198 246 270 286 300 328 388	779173457552
STPT(10)	1233811438200173969	0 2 42 44 90 92 138 140 180 182	1002780298290