Prime p₀= 1976078233828435199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 94 2 28 2 82 2 64 2 58 2 (?)
a_n: 0 2 12 14 108 110 138 140 222 224 288 290 348 350
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: 350
Found by: Dingo
db: batch=80, k=14, 10 94 28 82 64 58

SPT(16)	1976076456974490071	0 38 68 110 116 120 132 168 200 236 248 252 258 300 330 368	-1776853945128
STPT(12)	1976076889313549129	0 2 30 32 48 50 72 74 90 92 120 122	-1344514886070
SPT(16)	1976077073948239079	0 42 90 110 140 158 180 198 254 272 294 312 342 362 410 452	-1159880196120
STPT(10)	1976077544886517727	0 2 54 56 72 74 90 92 144 146	-688941917472
SPT(16)	1976077796815354103	0 26 138 158 180 236 254 258 266 270 288 344 366 386 498 524	-437013081096
SPT(16)	1976077969833237227	0 2 6 20 42 60 66 72 74 80 86 104 126 140 144 146	-263995197972
STPT(12)	1976078471916344219	0 2 30 32 90 92 180 182 240 242 270 272	238087909020
STPT(10)	1976078494644121337	0 2 30 32 42 44 54 56 84 86	260815686138
STPT(10)	1976078847737700029	0 2 42 44 60 62 78 80 120 122	613909264830
SPT(16)	1976079053831960713	0 4 6 30 34 54 88 100 114 126 160 180 184 208 210 214	820003525514
STPT(10)	1976079212975732477	0 2 30 32 42 44 54 56 84 86	979147297278