Prime p₀= 2680779141938568899 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2680778380839627361	0 12 28 30 82 112 132 142 168 178 198 228 280 282 298 310	-761098941538
SPT(16)	2680778550499584281	0 66 68 80 90 96 110 116 132 138 152 158 168 180 182 248	-591438984618
STPT(10)	2680778695036510889	0 2 42 44 60 62 78 80 120 122	-446902058010
STPT(10)	2680778760981299159	0 2 18 20 30 32 42 44 60 62	-380957269740
STPT(10)	2680778964066399377	0 2 30 32 42 44 54 56 84 86	-177872169522
SPT(16)	2680779086902550581	0 30 58 70 72 106 150 162 226 238 282 316 318 330 358 388	-55036018318
SPT(16)	2680779188890762159	0 12 22 28 70 132 168 184 228 244 280 342 384 390 400 412	46952193260
STPT(12)	2680779296088229289	0 2 30 32 48 50 72 74 90 92 120 122	154149660390
SPT(16)	2680779303236404987	0 12 36 70 82 96 100 112 114 126 130 144 156 190 214 226	161297836088
SPT(16)	2680779317454296621	0 66 80 90 156 170 222 252 260 290 342 356 422 432 446 512	175515727722
SPT(16)	2680779606516171023	0 26 30 110 128 216 218 234 320 336 338 426 444 524 528 554	464577602124