Prime p₀= 1016527314746852717 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)	1016526288184218067	0 12 46 72 124 190 210 214 222 226 246 312 364 390 424 436	-1026562634650
TPT(14)	1016526529802147009	0 2 18 20 60 62 120 122 252 254 270 272 378 380	-784944705708
SPT(16)	1016526691501203781	0 40 66 90 178 196 210 246 280 316 330 348 436 460 486 526	-623245648936
STPT(10)	1016526887154574889	0 2 30 32 60 62 90 92 120 122	-427592277828
STPT(12)	1016527094019736667	0 2 42 44 54 56 90 92 102 104 144 146	-220727116050
STPT(10)	1016527097526489719	0 2 42 44 60 62 78 80 120 122	-217220362998
SPT(16)	1016527456097474663	0 18 30 38 66 80 96 114 140 158 174 188 216 224 236 254	141350621946
SPT(16)	1016527521591673681	0 10 18 66 90 118 142 150 178 186 210 238 262 310 318 328	206844820964
SPT(16)	1016527606187333563	0 10 58 70 120 126 138 154 180 196 208 214 264 276 324 334	291440480846
SPT(16)	1016527686167720191	0 6 10 48 72 100 112 178 180 246 258 286 310 348 352 358	371420867474
SPT(16)	1016527805165409671	0 18 26 60 98 140 162 180 248 266 288 330 368 402 410 428	490418556954