Prime p₀= 2678437619796772649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2678435566397076263	0 18 38 78 86 120 186 218 228 260 326 360 368 408 428 446	-2053399696386
STPT(10)	2678436150910050299	0 2 18 20 30 32 42 44 60 62	-1468886722350
SPT(16)	2678436207654874889	0 50 60 98 104 134 162 188 204 230 258 288 294 332 342 392	-1412141897760
SPT(16)	2678436243235302061	0 28 72 100 150 156 166 180 208 222 232 238 288 316 360 388	-1376561470588
STPT(10)	2678436896398055459	0 2 18 20 60 62 102 104 120 122	-723398717190
STPT(10)	2678437098251615609	0 2 18 20 30 32 42 44 60 62	-521545157040
SPT(16)	2678437677747719983	0 28 30 54 58 60 88 106 138 156 184 186 190 214 216 244	57950947334
SPT(16)	2678438066099801623	0 24 60 76 94 106 118 148 156 186 198 210 228 244 280 304	446303028974
SPT(16)	2678438141190081913	0 48 54 60 66 88 108 136 168 196 216 238 244 250 256 304	521393309264
SPT(16)	2678438169156140231	0 92 150 168 176 192 206 236 252 282 296 312 320 338 396 488	549359367582
SPT(16)	2678438361274828837	0 24 70 76 90 132 180 234 322 376 424 466 480 486 532 556	741478056188