Prime p₀= 1174292679746109137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: xii5ku
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1174292185381027159	0 10 28 52 72 82 90 144 208 262 270 280 300 324 342 352	-494365081978
STPT(10)	1174292430528760979	0 2 42 44 60 62 78 80 120 122	-249217348158
SPT(16)	1174292434901296939	0 72 88 114 120 130 154 172 180 198 222 232 238 264 280 352	-244844812198
SPT(16)	1174292504692710869	0 20 30 42 72 98 102 104 138 140 144 170 200 212 222 242	-175053398268
TPT(14)	1174292632436974901	0 2 6 8 30 32 90 92 186 188 198 200 210 212	-47309134236
SPT(16)	1174292651270768797	0 10 34 76 120 136 166 174 196 204 234 250 294 336 360 370	-28475340340
SPT(16)	1174292716664084009	0 12 14 18 24 62 90 102 110 122 150 188 194 198 200 212	36917974872
SPT(16)	1174292970210870259	0 22 24 40 58 84 88 102 190 204 208 234 252 268 270 292	290464761122
STPT(10)	1174293203962405799	0 2 18 20 30 32 42 44 60 62	524216296662
SPT(16)	1174293263251969697	0 44 114 140 156 170 176 180 260 264 270 284 300 326 396 440	583505860560
STPT(10)	1174293502948188377	0 2 30 32 42 44 54 56 84 86	823202079240