Prime p₀= 2078756588336976797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JonS
db: batch=80, k=10, 2 10 2 28 2

TPT(14)	2078755250477216249	0 2 72 74 120 122 162 164 180 182 198 200 210 212	-1337859760548
SPT(16)	2078755266145047013	0 6 24 66 88 94 118 124 270 276 300 306 328 370 388 394	-1322191929784
TPT(14)	2078755293386000399	0 2 30 32 42 44 78 80 102 104 162 164 258 260	-1294950976398
SPT(18)	2078755934688556421	0 20 26 36 42 50 56 62 86 102 126 132 138 146 152 162 168 188	-653648420376
SPT(16)	2078756185898346293	0 6 20 36 54 114 140 176 378 414 440 500 518 534 548 554	-402438630504
STPT(12)	2078756333993032619	0 2 48 50 78 80 90 92 120 122 168 170	-254343944178
STPT(10)	2078756845475349227	0 2 24 26 42 44 60 62 84 86	257138372430
SPT(16)	2078757049584667909	0 4 28 30 34 42 52 94 108 150 160 168 172 174 198 202	461247691112
TPT(14)	2078757357451826477	0 2 54 56 60 62 180 182 192 194 294 296 312 314	769114849680
TPT(14)	2078757527938708229	0 2 42 44 60 62 138 140 198 200 270 272 312 314	939601731432
STPT(10)	2078758034726319647	0 2 30 32 42 44 54 56 84 86	1446389342850