Prime p₀= 4305603559070132507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Chooka
db: batch=85, k=10, 2 22 2 16 2

STPT(10)	4305602610107267267	0 2 30 32 42 44 54 56 84 86	-948962865240
SPT(16)	4305602700329694343	0 6 76 84 100 126 138 184 240 286 298 324 340 348 418 424	-858740438164
TPT(14)	4305602957126746391	0 2 18 20 96 98 156 158 186 188 210 212 228 230	-601943386116
SPT(16)	4305603101383654237	0 6 10 40 46 60 76 82 144 150 166 180 186 216 220 226	-457686478270
STPT(10)	4305603271110882281	0 2 30 32 78 80 126 128 156 158	-287959250226
STPT(10)	4305603395317464041	0 2 6 8 48 50 90 92 96 98	-163752668466
STPT(10)	4305603906233050007	0 2 30 32 72 74 114 116 144 146	347162917500
SPT(16)	4305604350719870449	0 30 58 60 84 132 142 144 238 240 250 298 322 324 352 382	791649737942
SPT(16)	4305605139190592747	0 32 44 54 60 80 86 96 170 180 186 206 212 222 234 266	1580120460240
TPT(14)	4305605632250410601	0 2 36 38 66 68 126 128 240 242 306 308 378 380	2073180278094
SPT(16)	4305605785333451719	0 4 24 28 52 138 154 220 222 288 304 390 414 418 438 442	2226263319212