Prime p₀= 1279585174027399409 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

SPT(16)	1279584179576734439	0 48 78 104 122 158 188 192 200 204 234 270 288 314 344 392	-994450664970
SPT(16)	1279584368697970499	0 14 50 68 90 108 110 132 140 162 164 182 204 222 258 272	-805329428910
STPT(10)	1279584585626642567	0 2 30 32 42 44 54 56 84 86	-588400756842
SPT(16)	1279584740713289641	0 36 52 70 178 186 198 252 256 310 322 330 438 456 472 508	-433314109768
SPT(16)	1279584771743139623	0 6 20 26 56 68 90 108 128 146 168 180 210 216 230 236	-402284259786
SPT(16)	1279585119458763373	0 54 70 78 100 114 168 208 246 286 340 354 376 384 400 454	-54568636036
SPT(16)	1279585196216356201	0 6 60 76 100 142 172 210 412 450 480 522 546 562 616 622	22188956792
SPT(16)	1279585695577159273	0 28 36 78 118 136 160 168 268 276 300 318 358 400 408 436	521549759864
SPT(16)	1279585794816136333	0 10 60 64 88 130 144 166 168 190 204 246 270 274 324 334	620788736924
STPT(10)	1279586196077271749	0 2 18 20 30 32 42 44 60 62	1022049872340
STPT(10)	1279586290688102849	0 2 48 50 90 92 132 134 180 182	1116660703440