Prime p₀= 2861177311975192631 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: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2861175974895346187	0 24 30 44 72 92 122 134 192 204 234 254 282 296 302 326	-1337079846444
STPT(10)	2861176013821810187	0 2 24 26 42 44 60 62 84 86	-1298153382444
SPT(16)	2861176117263441937	0 10 70 102 136 142 154 166 240 252 264 270 304 336 396 406	-1194711750694
SPT(16)	2861176694373036133	0 24 30 40 70 84 108 150 208 250 274 288 318 328 334 358	-617602156498
SPT(16)	2861176974276987089	0 44 72 104 120 122 140 230 324 414 432 434 450 482 510 554	-337698205542
STPT(10)	2861177205509294039	0 2 18 20 30 32 42 44 60 62	-106465898592
SPT(16)	2861177505769176703	0 6 18 46 76 96 118 120 124 126 148 168 198 226 238 244	193793984072
TPT(14)	2861177602282532537	0 2 12 14 30 32 54 56 90 92 114 116 144 146	290307339906
SPT(16)	2861177690457297473	0 30 36 56 66 80 98 126 248 276 294 308 318 338 344 374	378482104842
STPT(10)	2861177693769301349	0 2 42 44 60 62 78 80 120 122	381794108718
STPT(10)	2861177761165882097	0 2 30 32 60 62 90 92 120 122	449190689466