Prime p₀= 1251421814663343821 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 178 2 28 2 28 2 178 2 (?)
a_n: 0 2 180 182 210 212 240 242 420 422
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: 422
Found by: HenkM
db: batch=77, k=10, 2 178 2 28 2

SPT(16)	1251419973386440997	0 2 14 20 96 132 144 146 150 152 164 200 276 282 294 296	-1841276902824
SPT(16)	1251420141266615647	0 54 82 96 120 130 150 162 364 376 396 406 430 444 472 526	-1673396728174
STPT(10)	1251420154401954527	0 2 12 14 72 74 132 134 144 146	-1660261389294
SPT(16)	1251421190318604853	0 4 10 28 30 64 88 136 168 216 240 274 276 294 300 304	-624344738968
STPT(10)	1251421421551473059	0 2 18 20 30 32 42 44 60 62	-393111870762
SPT(16)	1251421712557748491	0 12 28 30 70 78 90 96 232 238 250 258 298 300 316 328	-102105595330
STPT(10)	1251422127165612797	0 2 90 92 132 134 174 176 264 266	312502268976
SPT(16)	1251422527653070853	0 14 20 36 68 86 98 104 120 126 138 156 188 204 210 224	712989727032
SPT(16)	1251422690021467651	0 18 28 100 102 106 136 186 202 252 282 286 288 360 370 388	875358123830
STPT(10)	1251422730485686667	0 2 30 32 42 44 54 56 84 86	915822342846
SPT(16)	1251422858513515553	0 8 24 104 108 120 126 150 164 188 194 206 210 290 306 314	1043850171732