Prime p₀= 2978800287868470311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Alnitak2019
db: batch=82, k=10, 2 76 2 58 2

SPT(16)	2978798631136744873	0 4 6 10 66 78 120 136 168 184 226 238 294 298 300 304	-1656731725438
SPT(16)	2978798829892031639	0 30 42 62 72 110 132 194 198 260 282 320 330 350 362 392	-1457976438672
STPT(10)	2978799088203474629	0 2 18 20 30 32 42 44 60 62	-1199664995682
SPT(16)	2978799514243652107	0 42 60 100 106 126 130 136 156 162 166 186 192 232 250 292	-773624818204
SPT(16)	2978799595597759501	0 16 46 60 72 138 142 178 240 276 280 346 358 372 402 418	-692270710810
STPT(10)	2978799741811577741	0 2 36 38 78 80 120 122 156 158	-546056892570
SPT(16)	2978800563374110067	0 42 50 60 62 80 102 120 146 164 186 204 206 216 224 266	275505639756
SPT(16)	2978800621416942671	0 26 30 62 66 96 98 116 222 240 242 272 276 308 312 338	333548472360
SPT(16)	2978801533836793963	0 16 60 100 130 160 174 198 226 250 264 294 324 364 408 424	1245968323652
SPT(16)	2978801796963288599	0 2 32 44 72 98 120 158 174 212 234 260 288 300 330 332	1509094818288
TPT(14)	2978801966452898939	0 2 12 14 42 44 78 80 108 110 132 134 168 170	1678584428628