Prime p₀= 778969352668531691 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: jozef j
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	778966796438383781	0 20 50 98 126 156 186 198 230 242 272 302 330 378 408 428	-2556230147910
SPT(16)	778967360996503439	0 8 38 60 80 92 140 182 210 252 300 312 332 354 384 392	-1991672028252
STPT(12)	778967927963711531	0 2 36 38 48 50 78 80 90 92 126 128	-1424704820160
TPT(14)	778967927963711531	0 2 36 38 48 50 78 80 90 92 126 128 138 140	-1424704820160
SPT(16)	778968514676667221	0 12 56 78 86 110 152 168 170 186 228 252 260 282 326 338	-837991864470
SPT(16)	778968693790032749	0 2 38 80 104 108 120 150 152 182 194 198 222 264 300 302	-658878498942
SPT(16)	778969388455484827	0 30 46 66 76 144 154 174 196 216 226 294 304 324 340 370	35786953136
STPT(10)	778969391695927319	0 2 18 20 30 32 42 44 60 62	39027395628
STPT(10)	778969988541808709	0 2 48 50 60 62 72 74 120 122	635873277018
STPT(10)	778970216128815131	0 2 36 38 78 80 120 122 156 158	863460283440
STPT(10)	778970248439494229	0 2 18 20 30 32 42 44 60 62	895770962538