Prime p₀= 1251970473055193789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: HenkM
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1251969880202892353	0 18 24 38 44 48 98 104 150 156 206 210 216 230 236 254	-592852301436
STPT(10)	1251970047327674999	0 2 18 20 60 62 102 104 120 122	-425727518790
SPT(16)	1251970150765375669	0 18 28 34 40 64 82 84 88 90 108 132 138 144 154 172	-322289818120
SPT(16)	1251970159622033779	0 4 30 54 70 88 114 154 174 214 240 258 274 298 324 328	-313433160010
SPT(16)	1251970220164859291	0 42 78 96 98 122 132 162 206 236 246 270 272 290 326 368	-252890334498
SPT(16)	1251970461668068421	0 12 30 38 56 60 110 116 192 198 248 252 270 278 296 308	-11387125368
STPT(10)	1251970658840074931	0 2 6 8 18 20 30 32 36 38	185784881142
SPT(16)	1251970671853255001	0 60 68 98 120 170 182 198 200 216 228 278 300 330 338 398	198798061212
STPT(10)	1251970858938206117	0 2 42 44 72 74 102 104 144 146	385883012328
TPT(14)	1251971022495556469	0 2 42 44 72 74 78 80 108 110 162 164 210 212	549440362680
SPT(16)	1251971630612089657	0 4 54 130 132 174 180 184 312 316 322 364 366 442 492 496	1157556895868