Prime p₀= 741636351018916361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 52 2 64 2 70 2 28 2 (?)
a_n: 0 2 66 68 126 128 180 182 246 248 318 320 348 350
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: 350
Found by: Theadalus
db: batch=73, k=14, 64 58 52 64 70 28

STPT(10)	741635622530299709	0 2 18 20 60 62 102 104 120 122	-728488616652
STPT(10)	741635625329105807	0 2 24 26 42 44 60 62 84 86	-725689810554
STPT(10)	741635652433440641	0 2 30 32 60 62 90 92 120 122	-698585475720
SPT(16)	741636174853228939	0 22 34 42 82 114 138 148 264 274 298 330 370 378 390 412	-176165687422
STPT(10)	741636322035164117	0 2 42 44 72 74 102 104 144 146	-28983752244
SPT(16)	741636340714439713	0 28 90 96 144 204 208 246 298 336 340 400 448 454 516 544	-10304476648
SPT(16)	741636392257386553	0 16 58 70 76 90 100 120 124 144 154 168 174 186 228 244	41238470192
STPT(10)	741636692212603877	0 2 30 32 42 44 54 56 84 86	341193687516
SPT(16)	741637022083883063	0 6 14 20 26 80 110 140 150 180 210 264 270 276 284 290	671064966702
STPT(10)	741637046498346527	0 2 42 44 72 74 102 104 144 146	695479430166
SPT(16)	741637127829428737	0 46 84 96 112 114 126 156 340 370 382 384 400 412 450 496	776810512376