Prime p₀= 878029016746516931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 6 8 60 62 90 92 126 128 156 158 168 170
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 170
Found by: MarkRBright
db: batch=73, k=14, 4 52 28 34 28 10

STPT(10)	878027757834691127	0 2 42 44 72 74 102 104 144 146	-1258911825804
SPT(16)	878027973300722311	0 12 22 58 100 118 132 138 190 196 210 228 270 306 316 328	-1043445794620
STPT(10)	878028411685025927	0 2 30 32 42 44 54 56 84 86	-605061491004
TPT(14)	878028671195455907	0 2 84 86 150 152 162 164 330 332 372 374 420 422	-345551061024
SPT(16)	878028743683041473	0 56 120 168 180 194 230 234 290 294 330 344 356 404 468 524	-273063475458
SPT(16)	878028906889019173	0 10 18 46 60 66 70 78 88 96 100 106 120 148 156 166	-109857497758
STPT(12)	878029147799042969	0 2 30 32 72 74 90 92 132 134 162 164	131052526038
SPT(16)	878029264534305991	0 16 52 60 66 72 112 148 150 186 226 232 238 246 282 298	247787789060
TPT(14)	878029357566720179	0 2 72 74 132 134 162 164 198 200 210 212 228 230	340820203248
SPT(16)	878029427154956969	0 8 32 78 84 114 242 314 588 660 788 818 824 870 894 902	410408440038
SPT(16)	878029490647725109	0 18 58 70 72 102 168 184 198 214 280 310 312 324 364 382	473901208178