Prime p₀= 4506239774203938269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 4 2 10 2 40 2 64 2 (?)
a_n: 0 2 30 32 72 74 78 80 90 92 132 134 198 200
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: 200
Found by: Dingo
db: batch=85, k=14, 28 40 4 10 40 64

STPT(12)	4506239138676430409	0 2 18 20 42 44 48 50 72 74 90 92	-635527507860
SPT(16)	4506239176832154263	0 38 66 80 104 134 144 150 344 350 360 390 414 428 456 494	-597371784006
TPT(14)	4506239479148390237	0 2 72 74 90 92 102 104 132 134 204 206 282 284	-295055548032
SPT(16)	4506239510490792289	0 10 18 28 42 90 112 118 144 150 172 220 234 244 252 262	-263713145980
STPT(10)	4506239516512572869	0 2 18 20 30 32 42 44 60 62	-257691365400
SPT(16)	4506239636849556797	0 14 32 50 66 74 90 102 104 116 132 140 156 174 192 206	-137354381472
TPT(14)	4506240508728734927	0 2 30 32 60 62 72 74 84 86 114 116 132 134	734524796658
STPT(10)	4506240508728734957	0 2 30 32 42 44 54 56 84 86	734524796688
SPT(16)	4506240569342026421	0 2 56 96 102 152 158 168 200 210 216 266 272 312 366 368	795138088152
SPT(16)	4506240613437823093	0 18 28 58 60 78 124 130 204 210 256 274 276 306 316 334	839233884824
STPT(10)	4506241224729224081	0 2 6 8 48 50 90 92 96 98	1450525285812