Prime p₀= 2313664684879381409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 10 2 28 2 28 2 4 2 (?)
a_n: 0 2 42 44 90 92 102 104 132 134 162 164 168 170
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: 170
Found by: Landjunge
db: batch=81, k=14, 40 46 10 28 28 4

STPT(10)	2313662434863211889	0 2 78 80 120 122 162 164 240 242	-2250016169520
STPT(12)	2313662977046323907	0 2 30 32 54 56 90 92 114 116 144 146	-1707833057502
SPT(16)	2313663186391155811	0 10 16 18 28 46 66 88 198 220 240 258 268 270 276 286	-1498488225598
SPT(16)	2313663333491839969	0 28 40 48 70 100 148 168 190 210 258 288 310 318 330 358	-1351387541440
SPT(16)	2313663393329128187	0 50 72 74 92 114 120 144 152 176 182 204 222 224 246 296	-1291550253222
SPT(16)	2313663425870397329	0 14 54 80 114 144 152 192 242 282 290 320 354 380 420 434	-1259008984080
STPT(10)	2313664878531722237	0 2 30 32 42 44 54 56 84 86	193652340828
TPT(14)	2313665192029698671	0 2 90 92 216 218 300 302 360 362 378 380 420 422	507150317262
STPT(10)	2313665768990916251	0 2 6 8 18 20 30 32 36 38	1084111534842
STPT(10)	2313665797487413511	0 2 6 8 18 20 30 32 36 38	1112608032102
SPT(16)	2313665980797211571	0 42 48 60 116 128 156 168 200 212 240 252 308 320 326 368	1295917830162