Prime p₀= 2732042870039442779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 28 2 10 2 34 2 22 2 (?)
a_n: 0 2 42 44 120 122 150 152 162 164 198 200 222 224
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: 224
Found by: JayPi
db: batch=82, k=14, 40 76 28 10 34 22

SPT(16)	2732040620089538731	0 12 18 22 78 106 120 150 268 298 312 340 396 400 406 418	-2249949904048
STPT(10)	2732040651572499341	0 2 6 8 48 50 90 92 96 98	-2218466943438
STPT(10)	2732041511312701499	0 2 18 20 30 32 42 44 60 62	-1358726741280
STPT(10)	2732041599464317739	0 2 18 20 30 32 42 44 60 62	-1270575125040
SPT(16)	2732041717072639667	0 26 36 50 54 126 152 174 182 204 230 302 306 320 330 356	-1152966803112
SPT(18)	2732041951507247063	0 6 44 54 104 114 156 164 236 378 450 458 500 510 560 570 608 614	-918532195716
SPT(16)	2732042904495447787	0 70 76 96 100 112 144 166 270 292 324 336 340 360 366 436	34456005008
STPT(10)	2732043045758770529	0 2 30 32 60 62 90 92 120 122	175719327750
STPT(10)	2732043095165872217	0 2 30 32 72 74 114 116 144 146	225126429438
SPT(16)	2732043263648448389	0 12 14 38 48 54 122 132 170 180 248 254 264 288 290 302	393609005610
SPT(16)	2732043451986388829	0 42 44 50 92 98 132 150 182 200 234 240 282 288 290 332	581946946050