Prime p₀= 955547585815446059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Theadalus
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	955546539968904031	0 10 22 36 42 70 126 148 150 172 228 256 262 276 288 298	-1045846542028
STPT(10)	955546841753762519	0 2 18 20 30 32 42 44 60 62	-744061683540
STPT(10)	955546911543994541	0 2 36 38 78 80 120 122 156 158	-674271451518
TPT(14)	955546967008616231	0 2 30 32 168 170 216 218 240 242 306 308 348 350	-618806829828
SPT(16)	955546986301401379	0 64 72 120 124 130 162 184 378 400 432 438 442 490 498 562	-599514044680
STPT(10)	955547565941439311	0 2 36 38 78 80 120 122 156 158	-19874006748
SPT(20)	955547680300893847	0 6 10 12 66 102 142 160 180 214 222 256 276 294 334 370 424 426 430 436	94485447788
STPT(10)	955547827147778507	0 2 30 32 42 44 54 56 84 86	241332332448
SPT(16)	955547990786862119	0 30 48 72 78 92 98 110 150 162 168 182 188 212 230 260	404971416060
SPT(16)	955548093827476759	0 58 168 198 210 220 234 252 280 298 312 322 334 364 474 532	508012030700
SPT(16)	955548593111253721	0 6 30 40 46 52 72 126 142 196 216 222 228 238 262 268	1007295807662