Prime p₀= 2162149548230933837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 46 2 22 2 4 2 22 2 (?)
a_n: 0 2 30 32 42 44 90 92 114 116 120 122 144 146
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: Landjunge
db: batch=81, k=14, 28 10 46 22 4 22

STPT(10)	2162147385974218397	0 2 60 62 72 74 84 86 144 146	-2162256715440
TPT(14)	2162147500291976801	0 2 6 8 48 50 90 92 216 218 258 260 270 272	-2047938957036
SPT(16)	2162148301156244459	0 50 104 120 132 134 182 188 234 240 288 290 302 318 372 422	-1247074689378
SPT(16)	2162148322901600497	0 22 34 52 70 126 136 142 204 210 220 276 294 312 324 346	-1225329333340
SPT(16)	2162148365976198463	0 28 66 76 84 96 118 120 154 156 178 190 198 208 246 274	-1182254735374
SPT(16)	2162149499711180701	0 12 22 28 40 60 100 102 148 150 190 210 222 228 238 250	-48519753136
SPT(16)	2162149599450804829	0 42 48 78 108 172 210 222 328 340 378 442 472 502 508 550	51219870992
STPT(10)	2162149700702430347	0 2 30 32 42 44 54 56 84 86	152471496510
STPT(12)	2162149869925722431	0 2 30 32 60 62 66 68 96 98 126 128	321694788594
SPT(16)	2162150121079082851	0 10 40 48 126 190 222 238 300 316 348 412 490 498 528 538	572848149014
TPT(14)	2162150250916820951	0 2 48 50 180 182 210 212 216 218 246 248 306 308	702685887114