Prime p₀= 2402398548960718037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 4 2 22 2 28 2 34 2 58 2 (?)
a_n: 0 2 114 116 120 122 144 146 174 176 210 212 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 112 4 22 28 34 58

SPT(16)	2402398142780243117	0 110 122 144 164 170 200 224 240 264 294 300 320 342 354 464	-406180474920
SPT(16)	2402398169030561941	0 16 28 30 42 52 72 78 100 106 126 136 148 150 162 178	-379930156096
STPT(10)	2402398170788966027	0 2 60 62 72 74 84 86 144 146	-378171752010
SPT(16)	2402398305105038551	0 22 76 126 132 142 156 178 180 202 216 226 232 282 336 358	-243855679486
SPT(16)	2402398474504511363	0 14 48 60 66 80 96 110 264 278 294 308 314 326 360 374	-74456206674
STPT(10)	2402398491741184367	0 2 54 56 72 74 90 92 144 146	-57219533670
TPT(14)	2402398692520848377	0 2 42 44 114 116 252 254 264 266 270 272 402 404	143560130340
SPT(16)	2402398755775689193	0 70 84 124 136 174 210 286 378 454 490 528 540 580 594 664	206814971156
STPT(10)	2402398766328685877	0 2 30 32 42 44 54 56 84 86	217367967840
SPT(16)	2402399035177978589	0 42 78 152 162 188 198 200 240 242 252 278 288 362 398 440	486217260552
SPT(16)	2402399283836637373	0 18 60 84 96 100 156 178 186 208 264 268 280 304 346 364	734875919336