Prime p₀= 819612907331409641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 130 2 46 2 10 2 16 2 10 2 (?)
a_n: 0 2 36 38 168 170 216 218 228 230 246 248 258 260
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: 260
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 34 130 46 10 16 10

SPT(16)	819612345470247383	0 20 54 74 104 110 116 200 204 288 294 300 330 350 384 404	-561861162258
SPT(16)	819612446385701873	0 20 60 84 90 126 150 164 210 224 248 284 290 314 354 374	-460945707768
STPT(10)	819612503984290229	0 2 48 50 90 92 132 134 180 182	-403347119412
SPT(16)	819612778270160579	0 18 20 84 104 122 144 158 174 188 210 228 248 312 314 332	-129061249062
STPT(10)	819612863923032197	0 2 12 14 72 74 132 134 144 146	-43408377444
SPT(16)	819612869991857923	0 34 36 70 126 144 148 150 154 156 160 178 234 268 270 304	-37339551718
STPT(10)	819613195617676511	0 2 6 8 18 20 30 32 36 38	288286266870
SPT(16)	819613339090357787	0 2 24 96 110 114 122 156 260 294 302 306 320 392 414 416	431758948146
SPT(16)	819613591854028211	0 18 30 38 48 102 128 132 158 162 188 242 252 260 272 290	684522618570
SPT(16)	819613652774956267	0 4 76 106 120 126 132 142 144 154 160 166 180 210 282 286	745443546626
STPT(10)	819613861959698327	0 2 30 32 42 44 54 56 84 86	954628288686