Prime p₀= 1638744811389146567 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Spectrum
db: batch=78, k=10, 2 28 2 10 2

STPT(10)	1638743664709349459	0 2 48 50 60 62 72 74 120 122	-1146679797108
STPT(10)	1638743960696068559	0 2 12 14 90 92 168 170 180 182	-850693078008
STPT(10)	1638744303802716359	0 2 18 20 30 32 42 44 60 62	-507586430208
SPT(16)	1638744443020911931	0 42 60 90 112 118 168 196 222 250 300 306 328 358 376 418	-368368234636
SPT(16)	1638744450200001101	0 6 12 20 38 80 90 96 182 188 198 240 258 266 272 278	-361189145466
SPT(16)	1638744502256869457	0 50 90 104 126 132 146 212 294 360 374 380 402 416 456 506	-309132277110
STPT(10)	1638744861601392287	0 2 30 32 42 44 54 56 84 86	50212245720
SPT(16)	1638744861773470483	0 4 30 36 40 60 76 154 216 294 310 330 334 340 366 370	50384323916
SPT(16)	1638744971138647643	0 8 20 60 68 120 126 138 188 200 206 258 266 306 318 326	159749501076
STPT(10)	1638745088457049589	0 2 42 44 120 122 198 200 240 242	277067903022
SPT(16)	1638745186150039181	0 8 42 62 92 96 120 146 162 188 212 216 246 266 300 308	374760892614