Prime p₀= 2696981163410650559 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: JohnMD
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2696980265543365577	0 2 12 14 42 44 72 74 84 86	-897867284982
STPT(10)	2696980358880141947	0 2 30 32 42 44 54 56 84 86	-804530508612
SPT(16)	2696980441508149429	0 24 40 78 138 142 168 208 234 274 300 304 364 402 418 442	-721902501130
SPT(16)	2696980690847662129	0 22 58 60 78 100 102 108 184 190 192 214 232 234 270 292	-472562988430
SPT(16)	2696980723946598031	0 40 60 66 90 112 118 120 178 180 186 208 232 238 258 298	-439464052528
SPT(16)	2696980795847753369	0 8 14 42 54 78 104 110 162 168 194 218 230 258 264 272	-367562897190
STPT(10)	2696981468751186899	0 2 42 44 60 62 78 80 120 122	305340536340
STPT(10)	2696981703093964787	0 2 54 56 72 74 90 92 144 146	539683314228
SPT(16)	2696981766831292639	0 24 84 100 174 184 342 352 360 370 528 538 612 628 688 712	603420642080
SPT(16)	2696981878344078697	0 12 42 54 84 94 114 154 180 220 240 250 280 292 322 334	714933428138
SPT(16)	2696981946793956347	0 92 102 116 180 212 236 246 260 270 294 326 390 404 414 506	783383305788