Prime p₀= 1008107421600403301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 130 2 34 2 28 2 52 2 16 2 (?)
a_n: 0 2 168 170 300 302 336 338 366 368 420 422 438 440
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: 440
Found by: Skivelitis2
db: batch=76, k=14, 166 130 34 28 52 16

STPT(10)	1008106137093036911	0 2 96 98 138 140 180 182 276 278	-1284507366390
SPT(16)	1008106237559619271	0 16 30 40 78 138 142 150 208 216 220 280 318 328 342 358	-1184040784030
STPT(10)	1008107042733589619	0 2 18 20 30 32 42 44 60 62	-378866813682
SPT(16)	1008107068778741759	0 42 60 92 122 132 144 164 210 230 242 252 282 314 332 374	-352821661542
SPT(16)	1008107244927743683	0 76 94 120 126 178 198 240 364 406 426 478 484 510 528 604	-176672659618
SPT(16)	1008107334007720099	0 10 54 58 70 108 124 138 154 168 184 222 234 238 282 292	-87592683202
STPT(10)	1008107654565218729	0 2 18 20 30 32 42 44 60 62	232964815428
SPT(16)	1008107888529231499	0 18 60 64 84 88 102 114 118 130 144 148 168 172 214 232	466928828198
SPT(16)	1008107981614051247	0 12 14 20 62 102 132 146 150 164 194 234 276 282 284 296	560013647946
SPT(16)	1008107986720190261	0 2 26 38 80 86 92 122 126 156 162 168 210 222 246 248	565119786960
SPT(16)	1008108083449264387	0 64 84 90 142 156 160 162 364 366 370 384 436 442 462 526	661848861086