Prime p₀= 1286365320804003467 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: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1286363913499023263	0 56 60 84 120 126 158 176 198 216 248 254 290 314 318 374	-1407304980204
SPT(16)	1286364161478021019	0 28 42 52 84 108 130 132 190 192 214 238 270 280 294 322	-1159325982448
SPT(16)	1286364369866884409	0 14 44 62 104 128 140 180 182 222 234 258 300 318 348 362	-950937119058
SPT(16)	1286364587743968983	0 38 54 78 84 90 98 110 174 186 194 200 206 230 246 284	-733060034484
SPT(16)	1286364779408491969	0 18 58 88 118 148 162 184 258 280 294 324 354 384 424 442	-541395511498
STPT(10)	1286365123048496669	0 2 12 14 90 92 168 170 180 182	-197755506798
SPT(16)	1286365454495552591	0 80 96 102 110 138 140 188 270 318 320 348 356 362 378 458	133691549124
SPT(16)	1286365507909083821	0 36 72 102 108 128 140 150 218 228 240 260 266 296 332 368	187105080354
STPT(10)	1286365559727819617	0 2 12 14 72 74 132 134 144 146	238923816150
STPT(10)	1286365715267752517	0 2 30 32 72 74 114 116 144 146	394463749050
STPT(10)	1286366012567043407	0 2 24 26 42 44 60 62 84 86	691763039940