Prime p₀= 2128157743515298151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 28 2 58 2 40 2 106 2 (?)
a_n: 0 2 60 62 66 68 96 98 156 158 198 200 306 308
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: 308
Found by: Odd-Rod
db: batch=80, k=14, 58 4 28 58 40 106

SPT(16)	2128155502220212019	0 14 24 32 98 104 140 158 174 192 228 234 300 308 318 332	-2241295086132
SPT(16)	2128155789545273927	0 6 14 20 24 74 90 96 110 116 132 182 186 192 200 206	-1953970024224
STPT(10)	2128155992105192339	0 2 12 14 90 92 168 170 180 182	-1751410105812
SPT(16)	2128156129173810497	0 2 26 56 72 80 102 116 150 164 186 194 210 240 264 266	-1614341487654
SPT(16)	2128157251368893959	0 12 22 90 100 148 162 174 238 250 264 312 322 390 400 412	-492146404192
STPT(10)	2128157391327145229	0 2 18 20 30 32 42 44 60 62	-352188152922
STPT(10)	2128157813388326801	0 2 6 8 48 50 90 92 96 98	69873028650
STPT(10)	2128158669214979897	0 2 12 14 42 44 72 74 84 86	925699681746
SPT(16)	2128158715807035167	0 12 50 110 144 194 210 222 242 254 270 320 354 414 452 464	972291737016
STPT(10)	2128158783867905597	0 2 30 32 42 44 54 56 84 86	1040352607446
SPT(16)	2128158788197668697	0 4 34 70 76 132 150 186 220 256 274 330 336 372 402 406	1044682370546