Prime p₀= 2179539910176728129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Penguin
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2179538737383202483	0 10 16 30 60 106 156 166 210 220 270 316 346 360 366 376	-1172793525646
SPT(16)	2179539520198401071	0 20 50 62 78 86 98 102 116 120 132 140 156 168 198 218	-389978327058
SPT(16)	2179539549045523843	0 16 36 70 120 126 136 138 208 210 220 226 276 310 330 346	-361131204286
SPT(16)	2179539723203951461	0 6 22 28 66 78 82 162 166 246 250 262 300 306 322 328	-186972776668
SPT(16)	2179539780765120589	0 12 78 112 118 142 168 202 210 244 270 294 300 334 400 412	-129411607540
SPT(16)	2179539791890378193	0 6 14 68 90 110 138 188 216 266 294 314 336 390 398 404	-118286349936
STPT(10)	2179540400587334969	0 2 42 44 120 122 198 200 240 242	490410606840
SPT(16)	2179540904804029841	0 8 32 50 62 90 98 120 140 162 170 198 210 228 252 260	994627301712
SPT(16)	2179541086105706333	0 14 38 44 50 66 104 108 236 240 278 294 300 306 330 344	1175928978204
SPT(16)	2179541117874987859	0 4 12 40 48 108 114 150 202 238 244 304 312 340 348 352	1207698259730
SPT(16)	2179541427268068727	0 24 66 70 90 94 160 222 364 426 492 496 516 520 562 586	1517091340598