Prime p₀= 1013539767057197657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 88 2 34 2 130 2 28 2 76 2 (?)
a_n: 0 2 54 56 144 146 180 182 312 314 342 344 420 422
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: 422
Found by: schoussi
db: batch=76, k=14, 52 88 34 130 28 76

SPT(16)	1013537028892617949	0 42 48 82 84 100 118 252 340 474 492 508 510 544 550 592	-2738164579708
STPT(10)	1013537947169410721	0 2 36 38 78 80 120 122 156 158	-1819887786936
STPT(10)	1013539322528806919	0 2 18 20 30 32 42 44 60 62	-444528390738
STPT(10)	1013539459771767191	0 2 6 8 48 50 90 92 96 98	-307285430466
STPT(10)	1013539559982414461	0 2 126 128 138 140 150 152 276 278	-207074783196
SPT(16)	1013539637778814381	0 6 28 36 72 100 120 162 166 208 228 256 292 300 322 328	-129278383276
SPT(16)	1013540196881666527	0 12 30 34 42 54 72 90 106 124 142 154 162 166 184 196	429824468870
STPT(10)	1013540304113208587	0 2 42 44 72 74 102 104 144 146	537056010930
SPT(16)	1013540470493538917	0 12 102 116 156 180 206 222 254 270 296 320 360 374 464 476	703436341260
STPT(10)	1013540738946874709	0 2 18 20 30 32 42 44 60 62	971889677052
STPT(10)	1013540739459788789	0 2 18 20 30 32 42 44 60 62	972402591132