Prime p₀= 2978799088203474629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: runningman333
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2978797522422323009	0 2 42 44 78 80 132 134 198 200 258 260 300 302	-1565781151620
SPT(16)	2978798175813237233	0 18 80 156 164 186 206 240 254 288 308 330 338 414 476 494	-912390237396
SPT(16)	2978798381585606929	0 18 30 60 88 90 114 118 150 154 178 180 208 238 250 268	-706617867700
SPT(18)	2978798473953165481	0 10 48 78 102 118 142 160 178 210 228 246 270 286 310 340 378 388	-614250309148
SPT(16)	2978798631136744873	0 4 6 10 66 78 120 136 168 184 226 238 294 298 300 304	-457066729756
SPT(16)	2978798829892031639	0 30 42 62 72 110 132 194 198 260 282 320 330 350 362 392	-258311442990
SPT(16)	2978799514243652107	0 42 60 100 106 126 130 136 156 162 166 186 192 232 250 292	426040177478
SPT(16)	2978799595597759501	0 16 46 60 72 138 142 178 240 276 280 346 358 372 402 418	507394284872
STPT(10)	2978799741811577741	0 2 36 38 78 80 120 122 156 158	653608103112
STPT(10)	2978800287868470311	0 2 78 80 138 140 198 200 276 278	1199664995682
SPT(16)	2978800563374110067	0 42 50 60 62 80 102 120 146 164 186 204 206 216 224 266	1475170635438