Prime p₀= 1123491090857169701 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1123489557533603503	0 34 48 90 94 150 178 228 280 330 358 414 418 460 474 508	-1533323566198
STPT(10)	1123489776036219437	0 2 24 26 42 44 60 62 84 86	-1314820950264
STPT(10)	1123489885091431547	0 2 30 32 42 44 54 56 84 86	-1205765738154
STPT(10)	1123490195384092307	0 2 90 92 102 104 114 116 204 206	-895473077394
SPT(16)	1123490445841933973	0 56 66 86 90 156 168 198 248 278 290 356 360 380 390 446	-645015235728
SPT(16)	1123490711008286893	0 10 54 88 100 154 156 180 214 238 240 294 306 340 384 394	-379848882808
SPT(16)	1123491699653009461	0 46 78 90 112 192 208 232 276 300 316 396 418 430 462 508	608795839760
STPT(10)	1123491722284294541	0 2 6 8 48 50 90 92 96 98	631427124840
SPT(16)	1123492078527041543	0 24 56 66 78 126 134 138 146 150 158 206 218 228 260 284	987669871842
SPT(16)	1123492150599496297	0 6 12 42 54 60 124 130 156 162 226 232 244 274 280 286	1059742326596
SPT(20)	1123492382500824793	0 6 10 34 94 118 228 238 298 360 364 426 486 496 606 630 690 714 718 724	1291643655092