Prime p₀= 4506239479148390237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 10 2 28 2 70 2 76 2 (?)
a_n: 0 2 72 74 90 92 102 104 132 134 204 206 282 284
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: 284
Found by: Dingo
db: batch=85, k=14, 70 16 10 28 70 76

SPT(16)	4506237945059485777	0 22 36 46 184 252 346 360 406 420 514 582 720 730 744 766	-1534088904460
STPT(10)	4506237982068071279	0 2 30 32 60 62 90 92 120 122	-1497080318958
SPT(16)	4506238100964983167	0 12 54 66 70 142 184 196 210 222 264 336 340 352 394 406	-1378183407070
SPT(16)	4506238165787191283	0 50 66 86 114 146 150 176 198 224 228 260 288 308 324 374	-1313361198954
STPT(12)	4506239138676430409	0 2 18 20 42 44 48 50 72 74 90 92	-340471959828
SPT(16)	4506239176832154263	0 38 66 80 104 134 144 150 344 350 360 390 414 428 456 494	-302316235974
SPT(16)	4506239510490792289	0 10 18 28 42 90 112 118 144 150 172 220 234 244 252 262	31342402052
STPT(10)	4506239516512572869	0 2 18 20 30 32 42 44 60 62	37364182632
SPT(16)	4506239636849556797	0 14 32 50 66 74 90 102 104 116 132 140 156 174 192 206	157701166560
TPT(14)	4506239774203938269	0 2 30 32 72 74 78 80 90 92 132 134 198 200	295055548032
TPT(14)	4506240508728734927	0 2 30 32 60 62 72 74 84 86 114 116 132 134	1029580344690