Prime p₀= 2177830457770409051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2177829557473363187	0 32 36 42 114 116 140 144 182 186 210 212 284 290 294 326	-900297045864
SPT(16)	2177829679604361787	0 6 12 16 36 70 72 90 112 130 132 166 186 190 196 202	-778166047264
SPT(16)	2177829894646841971	0 16 18 22 28 46 70 82 186 198 222 240 246 250 252 268	-563123567080
SPT(16)	2177830166290936291	0 12 16 28 40 82 88 96 142 150 156 198 210 222 226 238	-291479472760
TPT(14)	2177830174703216849	0 2 30 32 90 92 102 104 168 170 180 182 210 212	-283067192202
STPT(10)	2177830326122486207	0 2 30 32 42 44 54 56 84 86	-131647922844
STPT(10)	2177830476110513039	0 2 12 14 30 32 48 50 60 62	18340103988
STPT(10)	2177830866670456901	0 2 36 38 78 80 120 122 156 158	408900047850
STPT(10)	2177830876118607497	0 2 60 62 72 74 84 86 144 146	418348198446
SPT(16)	2177831010940055473	0 4 10 30 88 90 94 148 156 210 214 216 274 294 300 304	553169646422
STPT(10)	2177831030357858411	0 2 6 8 48 50 90 92 96 98	572587449360