Prime p₀= 977417068220022341 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	977416026209823439	0 12 52 64 82 100 108 120 142 154 162 180 198 210 250 262	-1042010198902
SPT(16)	977416042214511551	0 2 32 42 86 98 116 150 158 192 210 222 266 276 306 308	-1026005510790
SPT(16)	977416056856936817	0 32 44 84 102 126 150 162 164 176 200 224 242 282 294 326	-1011363085524
SPT(16)	977416607199985261	0 18 36 102 136 148 162 192 226 256 270 282 316 382 400 418	-461020037080
SPT(16)	977416802980111799	0 32 48 78 114 144 174 252 260 338 368 398 434 464 480 512	-265239910542
SPT(16)	977417042731372849	0 48 58 60 118 130 144 172 240 268 282 294 352 354 364 412	-25488649492
STPT(12)	977417141463977477	0 2 90 92 132 134 180 182 222 224 312 314	73243955136
STPT(10)	977417201756369159	0 2 30 32 60 62 90 92 120 122	133536346818
STPT(10)	977417265714528137	0 2 90 92 102 104 114 116 204 206	197494505796
STPT(10)	977417310456133871	0 2 30 32 78 80 126 128 156 158	242236111530
SPT(16)	977417993471894057	0 20 24 42 44 74 110 122 174 186 222 252 254 272 276 296	925251871716