Prime p₀= 2648701194800878781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 52 2 4 2 70 2 130 2 16 2 (?)
a_n: 0 2 126 128 180 182 186 188 258 260 390 392 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 124 52 4 70 130 16

SPT(16)	2648699758816193627	0 20 30 42 84 90 132 146 150 164 206 212 254 266 276 296	-1435984685154
TPT(14)	2648700182958921149	0 2 60 62 90 92 102 104 198 200 210 212 240 242	-1011841957632
STPT(12)	2648700182958921209	0 2 30 32 42 44 138 140 150 152 180 182	-1011841957572
STPT(10)	2648700216952003787	0 2 24 26 42 44 60 62 84 86	-977848874994
SPT(16)	2648700320346557417	0 2 12 24 50 96 134 156 230 252 290 336 362 374 384 386	-874454321364
SPT(16)	2648700724098189737	0 12 32 62 110 114 116 152 204 240 242 246 294 324 344 356	-470702689044
SPT(16)	2648701260143130617	0 14 32 54 74 120 144 182 222 260 284 330 350 372 390 404	65342251836
TPT(14)	2648701353234597767	0 2 54 56 72 74 150 152 162 164 192 194 252 254	158433718986
SPT(16)	2648701731293536717	0 16 66 94 112 142 162 172 204 214 234 264 282 310 360 376	536492657936
TPT(14)	2648701784532324971	0 2 30 32 60 62 90 92 126 128 228 230 258 260	589731446190
SPT(16)	2648702093111144071	0 36 52 112 126 148 150 162 226 238 240 262 276 336 352 388	898310265290