Prime p₀= 2012778910497496157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 76 2 10 2 64 2 10 2 70 2 (?)
a_n: 0 2 84 86 162 164 174 176 240 242 252 254 324 326
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: 326
Found by: Landjunge
db: batch=80, k=14, 82 76 10 64 10 70

SPT(16)	2012777957366574653	0 14 50 54 80 84 128 180 194 246 290 294 320 324 360 374	-953130921504
SPT(16)	2012778241462188769	0 18 24 34 52 60 100 112 150 162 202 210 228 238 244 262	-669035307388
STPT(10)	2012778422757764549	0 2 18 20 30 32 42 44 60 62	-487739731608
STPT(10)	2012778477210820349	0 2 18 20 30 32 42 44 60 62	-433286675808
SPT(16)	2012778550101738431	0 6 12 18 42 50 56 62 96 102 108 116 140 146 152 158	-360395757726
STPT(10)	2012778773420022701	0 2 36 38 78 80 120 122 156 158	-137077473456
SPT(16)	2012779071200777699	0 2 68 122 140 144 158 180 182 204 218 222 240 294 360 362	160703281542
SPT(16)	2012779639890428971	0 42 52 70 100 108 118 132 136 150 160 168 198 216 226 268	729392932814
SPT(16)	2012779681346716969	0 18 70 78 88 100 112 222 238 348 360 372 382 390 442 460	770849220812
SPT(16)	2012779781182145243	0 20 30 38 60 86 98 120 254 276 288 314 336 344 354 374	870684649086
STPT(10)	2012779906588609967	0 2 12 14 42 44 72 74 84 86	996091113810