Prime p₀= 2348923695121201127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 70 2 4 2 28 2 40 2 (?)
a_n: 0 2 12 14 72 74 144 146 150 152 180 182 222 224
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: 224
Found by: [AF] Kalianthys
db: batch=81, k=14, 10 58 70 4 28 40

SPT(16)	2348922593561178563	0 8 18 78 80 84 146 174 260 288 350 354 356 416 426 434	-1101560022564
SPT(16)	2348922760021995701	0 36 38 60 90 98 120 126 140 146 168 176 206 228 230 266	-935099205426
SPT(16)	2348922764496050971	0 22 60 90 112 130 132 142 186 196 198 216 238 268 306 328	-930625150156
STPT(10)	2348923111414213307	0 2 30 32 42 44 54 56 84 86	-583706987820
TPT(14)	2348923485124628231	0 2 66 68 156 158 210 212 240 242 336 338 360 362	-209996572896
SPT(16)	2348923496667348701	0 36 42 80 102 122 156 192 266 302 336 356 378 416 422 458	-198453852426
SPT(16)	2348924088509260519	0 90 138 148 160 168 190 192 220 222 244 252 264 274 322 412	393388059392
SPT(16)	2348924143739936869	0 42 58 60 82 88 108 112 138 142 162 168 190 192 208 250	448618735742
STPT(10)	2348924182045543967	0 2 42 44 72 74 102 104 144 146	486924342840
STPT(10)	2348924639516843987	0 2 30 32 42 44 54 56 84 86	944395642860
SPT(16)	2348925160635489383	0 24 48 54 98 134 146 156 188 198 210 246 290 296 320 344	1465514288256