Prime p₀= 2779850558251817777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2779849138985228267	0 2 24 26 42 44 60 62 84 86	-1419266589510
SPT(16)	2779849465746073757	0 2 36 56 126 186 194 210 236 252 260 320 390 410 444 446	-1092505744020
SPT(16)	2779849466980149821	0 8 20 36 78 90 102 116 192 206 218 230 272 288 300 308	-1091271667956
SPT(16)	2779849878540256493	0 54 90 104 108 138 140 174 230 264 266 296 300 314 350 404	-679711561284
STPT(10)	2779850269919519897	0 2 60 62 72 74 84 86 144 146	-288332297880
STPT(10)	2779850478671941847	0 2 12 14 72 74 132 134 144 146	-79579875930
STPT(10)	2779850816783432837	0 2 30 32 42 44 54 56 84 86	258531615060
SPT(16)	2779850923096753999	0 42 64 72 82 84 94 100 132 138 148 150 160 168 190 232	364844936222
SPT(16)	2779851171081638033	0 24 66 78 86 150 198 204 260 266 314 378 386 398 440 464	612829820256
TPT(14)	2779851457765791467	0 2 90 92 132 134 342 344 420 422 522 524 552 554	899513973690
SPT(16)	2779852395012399409	0 52 72 154 178 184 198 208 264 274 288 294 318 400 420 472	1836760581632