Prime p₀= 2506410421544506511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 28 2 10 2 16 2 40 2 (?)
a_n: 0 2 66 68 108 110 138 140 150 152 168 170 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 64 40 28 10 16 40

TPT(14)	2506409317868378891	0 2 48 50 78 80 90 92 138 140 150 152 288 290	-1103676127620
STPT(10)	2506409410572003449	0 2 42 44 60 62 78 80 120 122	-1010972503062
SPT(16)	2506409918451560939	0 32 38 54 180 192 198 210 212 224 230 242 368 384 390 422	-503092945572
SPT(16)	2506410199498930909	0 64 72 94 148 174 184 210 262 288 298 324 378 400 408 472	-222045575602
STPT(10)	2506410374032033319	0 2 48 50 90 92 132 134 180 182	-47512473192
STPT(10)	2506410386455684571	0 2 36 38 78 80 120 122 156 158	-35088821940
STPT(10)	2506411302602693411	0 2 30 32 78 80 126 128 156 158	881058186900
TPT(14)	2506411331653875407	0 2 54 56 84 86 150 152 192 194 210 212 282 284	910109368896
SPT(16)	2506411397295902543	0 18 30 54 56 98 110 128 156 174 186 228 230 254 266 284	975751396032
STPT(10)	2506411459505394809	0 2 18 20 30 32 42 44 60 62	1037960888298
SPT(16)	2506411596547004933	0 8 48 108 114 128 198 204 224 230 300 314 320 380 420 428	1175002498422