Prime p₀= 2344412532886233581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 100 2 16 2 40 2 46 2 (?)
a_n: 0 2 90 92 126 128 228 230 246 248 288 290 336 338
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: 338
Found by: Donn Pike (USAF Ret)
db: batch=81, k=14, 88 34 100 16 40 46

SPT(16)	2344411834831610413	0 64 106 114 126 136 156 174 220 238 258 268 280 288 330 394	-698054623168
TPT(14)	2344411845184061459	0 2 30 32 42 44 102 104 132 134 198 200 312 314	-687702172122
STPT(10)	2344411867384872581	0 2 6 8 18 20 30 32 36 38	-665501361000
STPT(10)	2344412113584582647	0 2 12 14 72 74 132 134 144 146	-419301650934
SPT(18)	2344412114020485793	0 4 6 76 84 118 144 154 160 174 180 190 216 250 258 328 330 334	-418865747788
SPT(16)	2344412331629251369	0 12 48 58 70 84 132 142 150 160 208 222 234 244 280 292	-201256982212
STPT(10)	2344412564639171231	0 2 6 8 18 20 30 32 36 38	31752937650
SPT(16)	2344412575800170119	0 58 84 88 112 138 142 144 178 180 184 210 234 238 264 322	42913936538
STPT(10)	2344413087807841109	0 2 48 50 90 92 132 134 180 182	554921607528
TPT(14)	2344413138062602301	0 2 30 32 36 38 48 50 90 92 120 122 126 128	605176368720
STPT(10)	2344413625906676417	0 2 30 32 60 62 90 92 120 122	1093020442836