Prime p₀= 1019958369569078507 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1019957283041264747	0 2 14 20 60 62 102 132 212 242 282 284 324 330 342 344	-1086527813760
TPT(14)	1019957341612190411	0 2 6 8 66 68 78 80 210 212 276 278 288 290	-1027956888096
SPT(16)	1019957465667350711	0 26 56 78 120 138 152 158 180 186 200 218 260 282 312 338	-903901727796
SPT(16)	1019957767913195227	0 34 72 102 112 160 216 256 270 310 366 414 424 454 492 526	-601655883280
SPT(16)	1019957982680316271	0 12 16 28 118 126 130 132 166 168 172 180 270 282 286 298	-386888762236
SPT(16)	1019958352781032909	0 4 24 28 48 70 144 160 252 268 342 364 384 388 408 412	-16788045598
SPT(16)	1019958549813499129	0 72 108 150 208 228 238 264 268 294 304 324 382 424 460 532	180244420622
TPT(14)	1019958595346398679	0 2 30 32 210 212 252 254 270 272 312 314 420 422	225777320172
TPT(14)	1019958648531139781	0 2 48 50 90 92 156 158 168 170 228 230 270 272	278962061274
SPT(16)	1019958673619698727	0 14 36 54 90 102 134 146 180 192 224 236 272 290 312 326	304050620220
STPT(10)	1019958698778776849	0 2 30 32 180 182 330 332 360 362	329209698342