Prime p₀= 2035640208369563051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 10 2 64 2 28 2 10 2 (?)
a_n: 0 2 18 20 48 50 60 62 126 128 156 158 168 170
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: 170
Found by: Landjunge
db: batch=80, k=14, 16 28 10 64 28 10

SPT(16)	2035637583198449323	0 16 60 66 84 114 136 148 156 168 190 220 238 244 288 304	-2625171113728
SPT(16)	2035637659981076771	0 6 20 36 42 48 72 78 110 116 140 146 152 168 182 188	-2548388486280
SPT(16)	2035637879935335407	0 6 12 20 42 54 56 144 182 270 272 284 306 314 320 326	-2328434227644
SPT(16)	2035638501152006599	0 34 90 118 150 160 168 190 198 220 228 238 270 298 354 388	-1707217556452
SPT(16)	2035638630680668309	0 24 90 102 154 202 214 228 244 258 270 318 370 382 448 472	-1577688894742
SPT(16)	2035639165380857077	0 6 16 30 52 90 100 112 114 126 136 174 196 210 220 226	-1042988705974
STPT(10)	2035640262831637289	0 2 18 20 60 62 102 104 120 122	54462074238
STPT(12)	2035640408376901367	0 2 30 32 54 56 60 62 84 86 114 116	200007338316
SPT(16)	2035640555485204627	0 4 46 64 72 130 156 232 234 310 336 394 402 420 462 466	347115641576
SPT(16)	2035640646737944801	0 48 70 90 102 106 132 178 210 256 282 286 298 318 340 388	438368381750
SPT(16)	2035641322012358791	0 12 30 40 58 76 112 202 216 306 342 360 378 388 406 418	1113642795740