Prime p₀= 2913742829643233279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 76 2 46 2 22 2 4 2 (?)
a_n: 0 2 30 32 72 74 150 152 198 200 222 224 228 230
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: 230
Found by: [SG-FC] hl
db: batch=82, k=14, 28 40 76 46 22 4

SPT(16)	2913740654354497291	0 58 60 88 108 120 126 148 150 172 178 190 210 238 240 298	-2175288735988
STPT(10)	2913740812638278657	0 2 60 62 72 74 84 86 144 146	-2017004954622
SPT(16)	2913741305589893041	0 28 76 82 106 120 132 148 180 196 208 222 246 252 300 328	-1524053340238
TPT(14)	2913741680738344499	0 2 108 110 138 140 162 164 192 194 222 224 240 242	-1148904888780
SPT(16)	2913741808860553523	0 20 56 74 108 110 168 180 194 206 264 266 300 318 354 374	-1020782679756
SPT(16)	2913742178825852761	0 22 46 48 60 76 78 106 132 160 162 178 190 192 216 238	-650817380518
SPT(16)	2913743130517860323	0 44 56 134 176 198 224 260 264 300 326 348 390 468 480 524	300874627044
TPT(14)	2913743178220969091	0 2 30 32 48 50 90 92 126 128 240 242 336 338	348577735812
STPT(10)	2913743928727612007	0 2 24 26 42 44 60 62 84 86	1099084378728
SPT(13)	2913744022833633961	0 30 66 108 126 156 168 180 210 228 270 306 336	1193190400682
SPT(16)	2913744978406551719	0 8 24 44 50 84 128 150 188 210 254 288 294 314 330 338	2148763318440