Prime p₀= 2046748485371164271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 40 2 4 2 22 2 16 2 (?)
a_n: 0 2 30 32 138 140 180 182 186 188 210 212 228 230
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: 230
Found by: Daniel
db: batch=80, k=14, 28 106 40 4 22 16

SPT(16)	2046747573674327647	0 54 76 90 114 156 210 232 264 286 340 382 406 420 442 496	-911696836624
TPT(14)	2046747585047392301	0 2 6 8 48 50 228 230 306 308 336 338 438 440	-900323771970
STPT(10)	2046747646089804839	0 2 18 20 30 32 42 44 60 62	-839281359432
SPT(16)	2046747772245530069	0 50 114 132 140 144 150 162 170 182 188 192 200 218 282 332	-713125634202
STPT(10)	2046748372776978461	0 2 90 92 108 110 126 128 216 218	-112594185810
TPT(14)	2046748433436060437	0 2 12 14 42 44 54 56 72 74 150 152 180 182	-51935103834
SPT(16)	2046748826479005301	0 58 60 90 100 108 148 156 232 240 280 288 298 328 330 388	341107841030
STPT(10)	2046749295508338917	0 2 12 14 42 44 72 74 84 86	810137174646
SPT(16)	2046749382451132417	0 6 10 22 60 70 84 90 106 112 126 136 174 186 190 196	897079968146
SPT(16)	2046750122173330991	0 8 20 48 68 86 126 138 170 182 222 240 260 288 300 308	1636802166720
SPT(16)	2046750578538239663	0 24 60 84 90 96 108 116 168 176 188 194 200 224 260 284	2093167075392