Prime p₀= 1294148632520013617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

TPT(14)	1294147654495097321	0 2 78 80 96 98 138 140 150 152 216 218 306 308	-978024916296
SPT(16)	1294147877658965243	0 24 36 48 50 84 126 146 168 188 230 264 266 278 290 314	-754861048374
SPT(16)	1294147899848977549	0 4 60 70 120 148 154 168 250 264 270 298 348 358 414 418	-732671036068
STPT(10)	1294147984403385647	0 2 30 32 42 44 54 56 84 86	-648116627970
SPT(16)	1294148039708262703	0 34 40 46 48 54 76 84 100 108 130 136 138 144 150 184	-592811750914
SPT(16)	1294148246933971141	0 6 16 42 60 70 100 118 180 198 228 238 256 282 292 298	-385586042476
STPT(10)	1294148692471213169	0 2 42 44 90 92 138 140 180 182	59951199552
SPT(16)	1294149088803009713	0 8 14 18 30 60 98 128 150 180 218 248 260 264 270 278	456282996096
TPT(14)	1294149262141986821	0 2 30 32 240 242 258 260 348 350 366 368 438 440	629621973204
TPT(14)	1294149283003867259	0 2 12 14 48 50 102 104 138 140 168 170 210 212	650483853642
SPT(16)	1294149725152995289	0 10 28 78 88 108 124 138 220 234 250 270 280 330 348 358	1092632981672