Prime p₀= 2978796538145355227 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: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2978794210006114499	0 2 18 20 30 32 42 44 60 62	-2328139240728
SPT(16)	2978794387004218039	0 28 60 70 78 88 90 118 162 190 192 202 210 220 252 280	-2151141137188
TPT(14)	2978795063551161761	0 2 30 32 60 62 96 98 126 128 168 170 210 212	-1474594193466
SPT(16)	2978795075344149521	0 18 42 48 50 92 116 126 152 162 186 228 230 236 260 278	-1462801205706
STPT(10)	2978795583413477591	0 2 30 32 78 80 126 128 156 158	-954731877636
STPT(10)	2978796252860547737	0 2 60 62 102 104 144 146 204 206	-285284807490
STPT(10)	2978797141014948311	0 2 36 38 78 80 120 122 156 158	602869593084
TPT(14)	2978797522422323009	0 2 42 44 78 80 132 134 198 200 258 260 300 302	984276967782
SPT(16)	2978798175813237233	0 18 80 156 164 186 206 240 254 288 308 330 338 414 476 494	1637667882006
SPT(16)	2978798381585606929	0 18 30 60 88 90 114 118 150 154 178 180 208 238 250 268	1843440251702
SPT(18)	2978798473953165481	0 10 48 78 102 118 142 160 178 210 228 246 270 286 310 340 378 388	1935807810254