Prime p₀= 2097858266836838321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Ben
db: batch=80, k=10, 2 4 2 40 2

SPT(16)	2097856591558056227	0 26 72 86 110 120 126 140 162 176 182 192 216 230 276 302	-1675278782094
SPT(16)	2097857252387162377	0 42 52 60 72 82 94 100 126 132 144 154 166 174 184 226	-1014449675944
STPT(10)	2097857730551612369	0 2 18 20 30 32 42 44 60 62	-536285225952
STPT(10)	2097857813257951091	0 2 6 8 48 50 90 92 96 98	-453578887230
TPT(14)	2097858081490334477	0 2 12 14 72 74 84 86 114 116 150 152 210 212	-185346503844
TPT(14)	2097858175578549029	0 2 18 20 72 74 90 92 270 272 282 284 372 374	-91258289292
SPT(16)	2097858369450769043	0 18 44 60 84 108 128 140 174 186 206 230 254 270 296 314	102613930722
SPT(16)	2097858476089814327	0 32 42 80 96 162 182 222 224 264 284 350 366 404 414 446	209252976006
TPT(14)	2097858524598859667	0 2 12 14 72 74 84 86 192 194 210 212 240 242	257762021346
SPT(16)	2097858590620002751	0 16 36 46 52 72 76 88 90 102 106 126 132 142 162 178	323783164430
STPT(10)	2097858648611556539	0 2 42 44 60 62 78 80 120 122	381774718218