Prime p₀= 950444860582020689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 118 2 100 2 28 2 208 2 (?)
a_n: 0 2 12 14 18 20 138 140 240 242 270 272 480 482
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: 482
Found by: arkiss
db: batch=76, k=14, 10 4 118 100 28 208

SPT(16)	950444170602524489	0 2 12 20 24 48 62 72 80 90 104 128 132 140 150 152	-689979496200
SPT(16)	950444388854655143	0 36 116 150 168 218 234 264 290 320 336 386 404 438 518 554	-471727365546
SPT(16)	950444504731750087	0 16 42 70 76 100 120 156 166 202 222 246 252 280 306 322	-355850270602
STPT(10)	950444524417521587	0 2 24 26 42 44 60 62 84 86	-336164499102
STPT(10)	950444660099510699	0 2 12 14 30 32 48 50 60 62	-200482509990
SPT(16)	950444686122367259	0 42 48 62 92 150 152 182 228 258 260 318 348 362 368 410	-174459653430
STPT(10)	950444862964591637	0 2 30 32 42 44 54 56 84 86	2382570948
SPT(16)	950444915690591231	0 30 36 86 92 98 102 126 152 176 180 186 192 242 248 278	55108570542
SPT(16)	950445029490775187	0 12 14 56 80 102 122 152 174 204 224 246 270 312 314 326	168908754498
SPT(16)	950445036229301693	0 36 56 66 78 80 86 104 150 168 174 176 188 198 218 254	175647281004
STPT(10)	950445201935600177	0 2 42 44 102 104 162 164 204 206	341353579488