Prime p₀= 2701468110835759037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 130 2 10 2 28 2 34 2 (?)
a_n: 0 2 12 14 90 92 222 224 234 236 264 266 300 302
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: 302
Found by: biodoc
db: batch=82, k=14, 10 76 130 10 28 34

SPT(16)	2701466656260587581	0 28 42 60 72 78 120 126 172 178 220 226 238 256 270 298	-1454575171456
TPT(14)	2701466969434909757	0 2 72 74 102 104 144 146 210 212 240 242 552 554	-1141400849280
TPT(14)	2701467009577053959	0 2 90 92 138 140 168 170 180 182 348 350 378 380	-1101258705078
STPT(10)	2701467286906559399	0 2 48 50 90 92 132 134 180 182	-823929199638
SPT(16)	2701467679664417233	0 10 36 66 78 94 100 124 150 174 180 196 208 238 264 274	-431171341804
STPT(10)	2701467961370966999	0 2 72 74 180 182 288 290 360 362	-149464792038
STPT(10)	2701468119155656967	0 2 30 32 42 44 54 56 84 86	8319897930
STPT(10)	2701468597102300187	0 2 30 32 42 44 54 56 84 86	486266541150
TPT(14)	2701468629880053989	0 2 42 44 72 74 132 134 180 182 300 302 390 392	519044294952
SPT(13)	2701468676808250381	0 6 30 90 96 120 126 132 156 162 222 246 252	565972491344
SPT(16)	2701468679416253423	0 6 14 20 24 48 66 78 146 158 176 200 204 210 218 224	568580494386