Prime p₀= 2731521662042896181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 4 2 100 2 136 2 (?)
a_n: 0 2 18 20 30 32 90 92 96 98 198 200 336 338
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: 338
Found by: JayPi
db: batch=82, k=14, 16 10 58 4 100 136

SPT(16)	2731520738481349279	0 10 24 28 48 70 90 100 192 202 222 244 264 268 282 292	-923561546902
STPT(12)	2731520791023223037	0 2 12 14 54 56 60 62 102 104 114 116	-871019673144
STPT(10)	2731520832985369427	0 2 30 32 72 74 114 116 144 146	-829057526754
STPT(10)	2731521081800083997	0 2 54 56 72 74 90 92 144 146	-580242812184
STPT(10)	2731521158148583637	0 2 42 44 72 74 102 104 144 146	-503894312544
SPT(16)	2731521507369117371	0 12 20 38 56 98 150 188 270 308 360 402 420 438 446 458	-154673778810
SPT(16)	2731521972530900359	0 40 48 54 70 72 90 132 160 202 220 222 238 244 252 292	310488004178
SPT(16)	2731522099073459873	0 20 26 30 44 48 86 108 146 168 206 210 224 228 234 254	437030563692
STPT(10)	2731522373317998059	0 2 48 50 60 62 72 74 120 122	711275101878
STPT(10)	2731522614217286957	0 2 12 14 42 44 72 74 84 86	952174390776
SPT(16)	2731522852402296749	0 20 38 60 104 110 150 164 174 188 228 234 278 300 318 338	1190359400568