Prime p₀= 1000244171625787139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: HenkM
db: batch=76, k=10, 2 40 2 16 2

STPT(10)	1000243458839334131	0 2 36 38 78 80 120 122 156 158	-712786453008
SPT(16)	1000243599602468531	0 30 32 48 122 176 206 212 246 252 282 336 410 426 428 458	-572023318608
SPT(16)	1000243819963929971	0 26 50 68 72 92 110 132 176 198 216 236 240 258 282 308	-351661857168
STPT(10)	1000243862459057327	0 2 42 44 72 74 102 104 144 146	-309166729812
SPT(16)	1000243907984723243	0 24 30 56 90 144 158 186 188 216 230 284 318 344 350 374	-263641063896
SPT(16)	1000243954778494883	0 6 18 20 74 84 98 146 168 216 230 240 294 296 308 314	-216847292256
STPT(10)	1000244186060302217	0 2 60 62 72 74 84 86 144 146	14434515078
STPT(10)	1000244276625609017	0 2 30 32 60 62 90 92 120 122	104999821878
STPT(10)	1000244382859709717	0 2 30 32 72 74 114 116 144 146	211233922578
SPT(16)	1000244569430806199	0 24 38 68 80 90 114 128 174 188 212 222 234 264 278 302	397805019060
SPT(16)	1000244608863110071	0 6 28 40 108 126 136 178 198 240 250 268 336 348 370 376	437237322932