Prime p₀= 2334798971521623317 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: Coleslaw
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2334796084709352167	0 44 66 80 200 210 212 222 224 234 236 246 366 380 402 446	-2886812271150
SPT(16)	2334796153329568693	0 10 36 76 78 100 118 136 168 186 204 226 228 268 294 304	-2818192054624
SPT(16)	2334796334890675157	0 62 74 104 116 132 134 140 336 342 344 360 372 402 414 476	-2636630948160
SPT(16)	2334796709819189711	0 6 12 18 56 60 110 116 162 168 218 222 260 266 272 278	-2261702433606
SPT(16)	2334798670693121863	0 24 54 60 70 88 130 136 168 174 216 234 244 250 280 304	-300828501454
SPT(16)	2334798912473602331	0 12 98 128 138 158 162 236 252 326 330 350 360 390 476 488	-59048020986
SPT(16)	2334799376521954117	0 40 54 70 76 84 100 114 136 150 166 174 180 196 210 250	405000330800
STPT(10)	2334799439786815457	0 2 30 32 42 44 54 56 84 86	468265192140
SPT(16)	2334799702621261367	0 6 20 44 84 90 126 164 216 254 290 296 336 360 374 380	731099638050
SPT(16)	2334799707704193817	0 36 42 64 72 84 120 162 184 226 262 274 282 304 310 346	736182570500
STPT(10)	2334799888447495421	0 2 108 110 138 140 168 170 276 278	916925872104