Prime p₀= 1249186521536613617 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: Conan
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1249185106206568439	0 24 38 60 72 74 80 104 108 132 138 140 152 174 188 212	-1415330045178
SPT(16)	1249185214437836947	0 6 22 34 60 76 96 124 252 280 300 316 342 354 370 376	-1307098776670
STPT(10)	1249185530548916507	0 2 30 32 42 44 54 56 84 86	-990987697110
SPT(16)	1249185578166072977	0 30 44 80 134 150 204 234 236 266 320 336 390 426 440 470	-943370540640
SPT(16)	1249185735883379423	0 8 26 48 54 78 84 120 194 230 236 260 266 288 306 314	-785653234194
STPT(10)	1249186416768320477	0 2 42 44 72 74 102 104 144 146	-104768293140
SPT(16)	1249187241709841947	0 10 52 100 226 232 240 256 300 316 324 330 456 504 546 556	720173228330
SPT(16)	1249187279162568817	0 4 10 22 30 60 70 82 84 96 106 136 144 156 162 166	757625955200
STPT(10)	1249187585203432241	0 2 6 8 48 50 90 92 96 98	1063666818624
STPT(10)	1249187613977336879	0 2 18 20 30 32 42 44 60 62	1092440723262
STPT(10)	1249187686686898337	0 2 30 32 42 44 54 56 84 86	1165150284720