Prime p₀= 2147006774202784589 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2147005234623778391	0 2 36 38 78 80 120 122 156 158	-1539579006198
SPT(16)	2147005244325660767	0 26 54 74 86 90 96 114 182 200 206 210 222 242 270 296	-1529877123822
SPT(16)	2147005753633942723	0 34 46 78 96 106 126 148 186 208 228 238 256 288 300 334	-1020568841866
STPT(10)	2147006029868231969	0 2 48 50 90 92 132 134 180 182	-744334552620
SPT(16)	2147006432747499689	0 2 42 48 90 104 134 210 212 288 318 332 374 380 420 422	-341455284900
SPT(16)	2147006449038271313	0 36 80 108 114 138 140 146 198 204 206 230 236 264 308 344	-325164513276
STPT(10)	2147006853031313069	0 2 18 20 30 32 42 44 60 62	78828528480
STPT(10)	2147007606882787679	0 2 30 32 60 62 90 92 120 122	832680003090
SPT(16)	2147007684137882897	0 2 36 66 84 86 126 144 182 200 240 242 260 290 324 326	909935098308
SPT(16)	2147008019953304203	0 10 16 28 40 76 94 108 166 180 198 234 246 258 264 274	1245750519614
SPT(16)	2147008051642895531	0 32 90 102 128 132 186 188 210 212 266 270 296 308 366 398	1277440110942