Prime p₀= 878739046410584729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 70 2 4 2 28 2 58 2 (?)
a_n: 0 2 12 14 30 32 102 104 108 110 138 140 198 200
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: 200
Found by: arkiss
db: batch=73, k=14, 10 16 70 4 28 58

STPT(10)	878737902973133381	0 2 6 8 48 50 90 92 96 98	-1143437451348
STPT(10)	878738558837709917	0 2 12 14 42 44 72 74 84 86	-487572874812
SPT(16)	878738662121472881	0 18 56 60 68 92 120 126 152 158 186 210 218 222 260 278	-384289111848
SPT(16)	878738684801688881	0 18 32 126 146 188 206 258 260 312 330 372 392 486 500 518	-361608895848
SPT(16)	878738738497960253	0 14 20 56 60 68 78 114 200 236 246 254 258 294 300 314	-307912624476
SPT(16)	878738918087427913	0 6 28 90 120 150 190 208 216 234 274 304 334 396 418 424	-128323156816
TPT(14)	878739211965050867	0 2 90 92 132 134 300 302 354 356 384 386 390 392	165554466138
STPT(10)	878739237651377537	0 2 30 32 42 44 54 56 84 86	191240792808
SPT(16)	878739347352077009	0 2 24 30 32 74 78 80 162 164 168 210 212 218 240 242	300941492280
SPT(16)	878739664833386669	0 48 80 98 122 140 150 164 288 302 312 330 354 372 404 452	618422801940
SPT(16)	878739714573063023	0 18 20 48 80 108 134 140 168 174 200 228 260 288 290 308	668162478294