Prime p₀= 1177865953936446767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 34 2 28 2 10 2 40 2 (?)
a_n: 0 2 12 14 114 116 150 152 180 182 192 194 234 236
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: 236
Found by: HenkM
db: batch=77, k=14, 10 100 34 28 10 40

SPT(16)	1177864891416013447	0 12 22 34 36 76 96 124 192 220 240 280 282 294 304 316	-1062520433320
STPT(10)	1177864965547840457	0 2 24 26 42 44 60 62 84 86	-988388606310
TPT(14)	1177865102627429507	0 2 12 14 210 212 342 344 390 392 420 422 480 482	-851309017260
SPT(16)	1177865397696344839	0 30 40 58 72 118 124 154 198 228 234 280 294 312 322 352	-556240101928
SPT(16)	1177865908089632131	0 12 28 52 82 96 100 108 130 138 142 156 186 210 226 238	-45846814636
SPT(16)	1177865922507480883	0 28 34 70 88 118 138 180 208 250 270 300 318 354 360 388	-31428965884
STPT(10)	1177866152239177697	0 2 90 92 102 104 114 116 204 206	198302730930
STPT(10)	1177866326766452471	0 2 30 32 78 80 126 128 156 158	372830005704
SPT(16)	1177866366991404989	0 20 48 68 78 110 122 132 140 150 162 194 204 224 252 272	413054958222
SPT(16)	1177866404789498341	0 22 52 60 66 108 112 142 156 186 190 232 238 246 276 298	450853051574
TPT(16)	1177866562398614279	0 2 42 44 72 74 78 80 90 92 102 104 162 164 240 242	608462167512