Prime p₀= 1294147984403385647 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1294146759147497621	0 2 36 38 78 80 120 122 156 158	-1225255888026
STPT(10)	1294146807222210551	0 2 36 38 78 80 120 122 156 158	-1177181175096
STPT(10)	1294146824890771001	0 2 126 128 138 140 150 152 276 278	-1159512614646
TPT(14)	1294147654495097321	0 2 78 80 96 98 138 140 150 152 216 218 306 308	-329908288326
SPT(16)	1294147877658965243	0 24 36 48 50 84 126 146 168 188 230 264 266 278 290 314	-106744420404
SPT(16)	1294147899848977549	0 4 60 70 120 148 154 168 250 264 270 298 348 358 414 418	-84554408098
SPT(16)	1294148039708262703	0 34 40 46 48 54 76 84 100 108 130 136 138 144 150 184	55304877056
SPT(16)	1294148246933971141	0 6 16 42 60 70 100 118 180 198 228 238 256 282 292 298	262530585494
STPT(10)	1294148632520013617	0 2 12 14 42 44 72 74 84 86	648116627970
STPT(10)	1294148692471213169	0 2 42 44 90 92 138 140 180 182	708067827522
SPT(16)	1294149088803009713	0 8 14 18 30 60 98 128 150 180 218 248 260 264 270 278	1104399624066