Prime p₀= 1264533748056960671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 52 2 16 2 28 2 10 2 (?)
a_n: 0 2 36 38 66 68 120 122 138 140 168 170 180 182
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: 182
Found by: rlacr
db: batch=77, k=14, 34 28 52 16 28 10

SPT(16)	1264533004370198839	0 22 28 40 52 82 94 112 150 168 180 210 222 234 240 262	-743686761832
STPT(12)	1264533016549109849	0 2 12 14 42 44 48 50 78 80 90 92	-731507850822
STPT(10)	1264533151050381647	0 2 30 32 42 44 54 56 84 86	-597006579024
SPT(16)	1264533583220161861	0 6 36 40 48 88 106 120 136 150 168 208 216 220 250 256	-164836798810
SPT(16)	1264533628411960261	0 6 46 106 160 166 202 216 292 306 342 348 402 462 502 508	-119645000410
TPT(14)	1264533665624168831	0 2 36 38 66 68 108 110 138 140 150 152 258 260	-82432791840
STPT(12)	1264533792900578531	0 2 36 38 48 50 78 80 90 92 126 128	44843617860
SPT(16)	1264534139629671793	0 64 78 94 124 126 136 138 166 168 178 180 210 226 240 304	391572711122
STPT(10)	1264534171921937627	0 2 12 14 42 44 72 74 84 86	423864976956
STPT(10)	1264534448569335701	0 2 6 8 18 20 30 32 36 38	700512375030
SPT(16)	1264534523644822571	0 30 32 42 108 170 182 228 260 306 318 380 446 456 458 488	775587861900