Prime p₀= 728699295638594237 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: Theadalus
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	728698468711028909	0 2 30 32 60 62 90 92 120 122	-826927565328
SPT(16)	728698799133202783	0 18 36 58 64 84 90 100 174 184 190 210 216 238 256 274	-496505391454
SPT(16)	728698898944368587	0 6 30 44 54 60 96 104 126 134 170 176 186 200 224 230	-396694225650
TPT(14)	728698955065508267	0 2 12 14 42 44 84 86 150 152 192 194 252 254	-340573085970
SPT(16)	728699056339855427	0 26 30 50 54 56 72 80 156 164 180 182 186 206 210 236	-239298738810
SPT(16)	728699269645025759	0 44 62 72 78 90 92 110 282 300 302 314 320 330 348 392	-25993568478
TPT(14)	728699359092006749	0 2 108 110 150 152 168 170 270 272 402 404 408 410	63453412512
SPT(16)	728699392648792969	0 10 18 34 40 54 112 130 132 150 208 222 228 244 252 262	97010198732
SPT(16)	728699439526758017	0 24 42 80 92 170 212 216 290 294 336 414 426 464 482 506	143888163780
STPT(10)	728699689871485427	0 2 30 32 42 44 54 56 84 86	394232891190
STPT(10)	728699808082657469	0 2 42 44 60 62 78 80 120 122	512444063232