Prime p₀= 2031327589687438541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Orange Kid
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2031326943313009057	0 102 106 114 154 160 204 210 316 322 366 372 412 420 424 526	-646374429484
STPT(10)	2031327012659540801	0 2 6 8 18 20 30 32 36 38	-577027897740
SPT(16)	2031327031804596853	0 64 70 78 90 130 144 208 210 274 288 328 340 348 354 418	-557882841688
SPT(16)	2031327226253446057	0 24 46 60 66 76 82 94 132 144 150 160 166 180 202 226	-363433992484
SPT(16)	2031327378345238511	0 26 42 62 96 126 132 140 192 200 206 236 270 290 306 332	-211342200030
SPT(16)	2031327487370436917	0 44 56 90 104 114 176 210 260 294 356 366 380 414 426 470	-102317001624
STPT(10)	2031327897611511617	0 2 30 32 42 44 54 56 84 86	307924073076
SPT(16)	2031327956541119161	0 6 18 28 48 66 90 102 136 148 172 190 210 220 232 238	366853680620
SPT(16)	2031328497118592641	0 16 22 90 106 126 166 168 280 282 322 342 358 426 432 448	907431154100
SPT(16)	2031329508903128779	0 4 24 60 114 148 154 184 198 228 234 268 322 358 378 382	1919215690238
SPT(16)	2031329757331709869	0 4 40 42 58 60 72 84 88 100 112 114 130 132 168 172	2167644271328