Prime p₀= 2903132885015914751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 76 2 76 2 88 2 190 2 40 2 (?)
a_n: 0 2 180 182 258 260 336 338 426 428 618 620 660 662
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: 662
Found by: Landjunge
db: batch=82, k=14, 178 76 76 88 190 40

SPT(16)	2903131172935251109	0 4 40 42 52 54 70 90 172 192 208 210 220 222 258 262	-1712080663642
STPT(10)	2903131697286185921	0 2 6 8 48 50 90 92 96 98	-1187729728830
STPT(10)	2903131737593046761	0 2 6 8 48 50 90 92 96 98	-1147422867990
SPT(16)	2903131773911907379	0 22 34 102 144 154 160 174 190 204 210 220 262 330 342 364	-1111104007372
STPT(10)	2903131957235212991	0 2 66 68 138 140 210 212 276 278	-927780701760
SPT(16)	2903132420285988427	0 34 40 66 144 150 160 166 174 180 190 196 274 300 306 340	-464729926324
TPT(14)	2903133050266789049	0 2 12 14 48 50 90 92 108 110 132 134 138 140	165250874298
STPT(10)	2903133144302692661	0 2 6 8 48 50 90 92 96 98	259286777910
SPT(16)	2903133150303136973	0 6 14 24 36 84 126 150 164 188 230 278 290 300 308 314	265287222222
TPT(14)	2903133227233158209	0 2 12 14 78 80 120 122 162 164 210 212 222 224	342217243458
STPT(10)	2903133239034539279	0 2 18 20 30 32 42 44 60 62	354018624528