Prime p₀= 1013382631520281457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: HenkM
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1013381718326947087	0 10 52 82 130 150 174 252 304 382 406 426 474 504 546 556	-913193334370
STPT(10)	1013381842539240191	0 2 6 8 108 110 210 212 216 218	-788981041266
STPT(10)	1013381887978811171	0 2 6 8 18 20 30 32 36 38	-743541470286
SPT(16)	1013382126867090317	0 2 42 44 56 102 110 134 162 186 194 240 252 254 294 296	-504653191140
SPT(16)	1013382441020526947	0 42 60 62 66 80 84 90 116 122 126 140 144 146 164 206	-190499754510
SPT(16)	1013382550276683239	0 20 42 44 90 108 122 168 254 300 314 332 378 380 402 422	-81243598218
SPT(16)	1013382762923600837	0 6 20 32 110 140 146 152 264 270 276 306 384 396 410 416	131403319380
SPT(16)	1013382880181745979	0 12 22 24 48 54 64 70 132 138 148 154 178 180 190 202	248661464522
SPT(16)	1013383009174615589	0 20 42 48 102 168 180 182 198 200 212 278 332 338 360 380	377654334132
SPT(16)	1013383129009325471	0 12 42 78 90 140 146 168 200 222 228 278 290 326 356 368	497489044014
STPT(10)	1013383274482507457	0 2 12 14 42 44 72 74 84 86	642962226000