Prime p₀= 3031768188069613589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: eclipse99
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	3031767000979378073	0 14 24 48 66 80 90 96 98 104 114 128 146 170 180 194	-1187090235516
STPT(10)	3031767271755970997	0 2 12 14 42 44 72 74 84 86	-916313642592
SPT(16)	3031767350947955941	0 52 66 90 100 112 126 132 136 142 156 168 178 202 216 268	-837121657648
STPT(10)	3031767906202280801	0 2 6 8 48 50 90 92 96 98	-281867332788
SPT(16)	3031768004000240387	0 12 26 32 72 80 102 110 126 134 156 164 204 210 224 236	-184069373202
SPT(16)	3031768170842794499	0 18 42 74 110 132 134 162 200 228 230 252 288 320 344 362	-17226819090
STPT(10)	3031768206532021637	0 2 30 32 102 104 174 176 204 206	18462408048
STPT(10)	3031768243707792131	0 2 6 8 48 50 90 92 96 98	55638178542
SPT(16)	3031768344466393729	0 42 60 70 82 88 108 114 208 214 234 240 252 262 280 322	156396780140
TPT(14)	3031768353065771279	0 2 42 44 48 50 78 80 102 104 132 134 198 200	164996157690
STPT(10)	3031768621153336817	0 2 30 32 42 44 54 56 84 86	433083723228