Prime p₀= 2700372148764882197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 12 14 72 74 84 86 102 104 114 116 144 146
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: 146
Found by: JayPi
db: batch=82, k=14, 10 58 10 16 10 28

SPT(16)	2700370994375357269	0 40 42 54 82 108 114 120 142 148 154 180 208 220 222 262	-1154389524928
STPT(10)	2700371177924783969	0 2 12 14 90 92 168 170 180 182	-970840098228
STPT(10)	2700371706932521337	0 2 42 44 72 74 102 104 144 146	-441832360860
SPT(16)	2700371710863908287	0 96 100 136 150 154 166 246 310 390 402 406 420 456 460 556	-437900973910
SPT(16)	2700371853289014739	0 24 28 42 48 60 72 90 112 130 142 154 160 174 178 202	-295475867458
SPT(16)	2700372025560135313	0 24 84 88 100 118 144 160 228 244 270 288 300 304 364 388	-123204746884
STPT(10)	2700372829080006887	0 2 42 44 102 104 162 164 204 206	680315124690
TPT(14)	2700372903374990027	0 2 60 62 90 92 114 116 162 164 174 176 240 242	754610107830
SPT(16)	2700373400419221481	0 22 48 100 106 108 192 210 268 286 370 372 378 430 456 478	1251654339284
STPT(10)	2700373554853792799	0 2 42 44 60 62 78 80 120 122	1406088910602
STPT(10)	2700374231088105107	0 2 30 32 42 44 54 56 84 86	2082323222910