Prime p₀= 799836480538168859 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: jozef j
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	799835114542203599	0 14 48 104 150 158 188 210 248 270 300 308 354 410 444 458	-1365995965260
STPT(12)	799835118897097007	0 2 30 32 60 62 72 74 102 104 132 134	-1361641071852
SPT(16)	799835617931537771	0 2 6 8 30 38 42 86 132 176 180 188 210 212 216 218	-862606631088
TPT(14)	799835849826429497	0 2 12 14 30 32 54 56 102 104 144 146 174 176	-630711739362
STPT(10)	799836144678320801	0 2 6 8 18 20 30 32 36 38	-335859848058
SPT(16)	799836469574912173	0 24 70 88 94 138 148 174 250 276 286 330 336 354 400 424	-10963256686
SPT(20)	799836950596568177	0 12 56 96 126 146 192 200 222 230 276 284 306 314 360 380 410 450 494 506	470058399318
SPT(16)	799836951243760267	0 6 24 70 82 162 180 222 274 316 334 414 426 472 490 496	470705591408
SPT(16)	799837204753591307	0 14 66 72 90 116 174 206 210 242 300 326 344 350 402 416	724215422448
STPT(10)	799837247826064697	0 2 30 32 42 44 54 56 84 86	767287895838
STPT(10)	799837403827391297	0 2 30 32 42 44 54 56 84 86	923289222438