Prime p₀= 1924430061429028211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 124 2 22 2 4 2 (?)
a_n: 0 2 36 38 78 80 90 92 216 218 240 242 246 248
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: 248
Found by: Landjunge
db: batch=80, k=14, 34 40 10 124 22 4

SPT(16)	1924429139414887891	0 66 78 112 156 220 246 252 256 262 288 352 396 430 442 508	-922014140320
SPT(16)	1924429408974469183	0 24 48 78 94 96 120 124 150 154 178 180 196 226 250 274	-652454559028
STPT(10)	1924429548977256149	0 2 12 14 90 92 168 170 180 182	-512451772062
STPT(12)	1924429629177127151	0 2 30 32 48 50 210 212 228 230 258 260	-432251901060
TPT(14)	1924429660537883711	0 2 18 20 90 92 120 122 156 158 216 218 240 242	-400891144500
STPT(10)	1924430009199791921	0 2 36 38 78 80 120 122 156 158	-52229236290
SPT(16)	1924430080202513137	0 4 30 34 52 60 66 172 174 280 286 294 312 316 342 346	18773484926
SPT(16)	1924430402708457257	0 6 26 96 120 122 146 162 194 210 234 236 260 330 350 356	341279429046
STPT(10)	1924430495932806539	0 2 18 20 30 32 42 44 60 62	434503778328
SPT(16)	1924430540937370229	0 2 12 30 78 92 128 150 170 192 228 242 290 308 318 320	479508342018
SPT(16)	1924430750229004691	0 6 36 56 72 78 92 122 126 156 170 176 192 212 242 248	688799976480