Prime p₀= 876144435814782689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 10 2 10 2 58 2 76 2 (?)
a_n: 0 2 42 44 78 80 90 92 102 104 162 164 240 242
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: 242
Found by: Klouda
db: batch=73, k=14, 40 34 10 10 58 76

SPT(16)	876144015927290491	0 72 96 138 142 148 150 162 196 208 210 216 220 262 286 358	-419887492198
STPT(10)	876144067244493401	0 2 6 8 48 50 90 92 96 98	-368570289288
STPT(10)	876144085867416437	0 2 30 32 42 44 54 56 84 86	-349947366252
SPT(16)	876144199343096737	0 34 54 76 102 126 196 216 250 270 340 364 390 412 432 466	-236471685952
SPT(16)	876144210706757413	0 46 54 84 88 100 156 166 198 208 264 276 280 310 318 364	-225108025276
STPT(10)	876144315903422471	0 2 6 8 48 50 90 92 96 98	-119911360218
SPT(16)	876144466110371897	0 60 62 66 74 92 110 126 200 216 234 252 260 264 266 326	30295589208
STPT(10)	876144691028305331	0 2 6 8 48 50 90 92 96 98	255213522642
STPT(10)	876145054506836591	0 2 36 38 78 80 120 122 156 158	618692053902
SPT(16)	876145603343955479	0 2 14 42 62 108 138 150 152 164 194 240 260 288 300 302	1167529172790
STPT(10)	876145794459045137	0 2 30 32 42 44 54 56 84 86	1358644262448