Prime p₀= 2842231805910399491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 10 2 226 2 10 2 (?)
a_n: 0 2 30 32 66 68 96 98 108 110 336 338 348 350
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: 350
Found by: Roadranner
db: batch=82, k=14, 28 34 28 10 226 10

STPT(12)	2842230183200418761	0 2 36 38 48 50 78 80 90 92 126 128	-1622709980730
SPT(16)	2842230186121589191	0 36 40 78 90 108 126 132 166 172 190 208 220 258 262 298	-1619788810300
SPT(16)	2842230664290133967	0 12 30 32 60 86 90 102 140 152 156 182 210 212 230 242	-1141620265524
SPT(16)	2842230855019860151	0 12 18 60 108 126 222 228 430 436 532 550 598 640 646 658	-950890539340
STPT(10)	2842230954918833831	0 2 78 80 108 110 138 140 216 218	-850991565660
STPT(10)	2842231711197285929	0 2 18 20 30 32 42 44 60 62	-94713113562
TPT(14)	2842231880821500281	0 2 36 38 90 92 228 230 246 248 270 272 330 332	74911100790
STPT(10)	2842232339658281621	0 2 6 8 18 20 30 32 36 38	533747882130
SPT(16)	2842232646470594743	0 4 6 18 58 88 130 144 160 174 216 246 286 298 300 304	840560195252
TPT(14)	2842233749588304389	0 2 48 50 108 110 138 140 162 164 192 194 222 224	1943677904898
SPT(20)	2842233824498174747	0 2 14 42 114 116 134 170 174 176 180 182 186 222 240 242 314 342 354 356	2018587775256