Prime p₀= 2070528741262567697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Cruncher Pete
db: batch=80, k=10, 2 40 2 28 2

TPT(14)	2070527102303233841	0 2 150 152 156 158 180 182 198 200 246 248 276 278	-1638959333856
SPT(16)	2070527233347944011	0 78 148 180 198 226 238 288 328 378 390 418 436 468 538 616	-1507914623686
SPT(16)	2070527369399644163	0 8 78 98 108 116 128 176 228 276 288 296 306 326 396 404	-1371862923534
TPT(14)	2070528133572126509	0 2 12 14 78 80 150 152 180 182 210 212 222 224	-607690441188
SPT(16)	2070528140849632801	0 10 42 58 72 82 88 102 148 162 168 178 192 208 240 250	-600412934896
TPT(14)	2070528142666563257	0 2 210 212 234 236 264 266 270 272 294 296 324 326	-598596004440
STPT(10)	2070528786838119371	0 2 30 32 78 80 126 128 156 158	45575551674
SPT(16)	2070528938887546513	0 4 60 78 190 204 214 238 246 270 280 294 406 424 480 484	197624978816
STPT(10)	2070528983823799487	0 2 30 32 102 104 174 176 204 206	242561231790
SPT(16)	2070529115064622169	0 12 24 48 122 132 144 158 174 188 200 210 284 308 320 332	373802054472
SPT(16)	2070529122379242667	0 10 90 114 120 132 160 216 340 396 424 436 442 466 546 556	381116674970