Prime p₀= 2978796252860547737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: Orange Kid
db: batch=82, k=10, 2 58 2 40 2

STPT(10)	2978794094177067371	0 2 6 8 18 20 30 32 36 38	-2158683480366
STPT(10)	2978794210006114499	0 2 18 20 30 32 42 44 60 62	-2042854433238
SPT(16)	2978794387004218039	0 28 60 70 78 88 90 118 162 190 192 202 210 220 252 280	-1865856329698
TPT(14)	2978795063551161761	0 2 30 32 60 62 96 98 126 128 168 170 210 212	-1189309385976
SPT(16)	2978795075344149521	0 18 42 48 50 92 116 126 152 162 186 228 230 236 260 278	-1177516398216
STPT(10)	2978795583413477591	0 2 30 32 78 80 126 128 156 158	-669447070146
STPT(10)	2978796538145355227	0 2 24 26 42 44 60 62 84 86	285284807490
STPT(10)	2978797141014948311	0 2 36 38 78 80 120 122 156 158	888154400574
TPT(14)	2978797522422323009	0 2 42 44 78 80 132 134 198 200 258 260 300 302	1269561775272
SPT(16)	2978798175813237233	0 18 80 156 164 186 206 240 254 288 308 330 338 414 476 494	1922952689496
SPT(16)	2978798381585606929	0 18 30 60 88 90 114 118 150 154 178 180 208 238 250 268	2128725059192