Prime p₀= 1012057386960022619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 118 2 76 2 220 2 10 2 28 2 (?)
a_n: 0 2 30 32 150 152 228 230 450 452 462 464 492 494
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: 494
Found by: schoussi
db: batch=76, k=14, 28 118 76 220 10 28

SPT(16)	1012056093461140579	0 4 12 24 40 52 88 118 144 174 210 222 238 250 258 262	-1293498882040
STPT(10)	1012056316611118277	0 2 42 44 72 74 102 104 144 146	-1070348904342
TPT(14)	1012056435813646589	0 2 18 20 78 80 120 122 210 212 312 314 420 422	-951146376030
STPT(10)	1012056474708525689	0 2 42 44 60 62 78 80 120 122	-912251496930
TPT(14)	1012056550783013807	0 2 30 32 222 224 234 236 324 326 360 362 372 374	-836177008812
STPT(10)	1012057013567980451	0 2 36 38 78 80 120 122 156 158	-373392042168
STPT(10)	1012057401575956661	0 2 30 32 78 80 126 128 156 158	14615934042
SPT(16)	1012057421422978613	0 8 50 60 78 138 146 156 158 168 176 236 254 264 306 314	34462955994
SPT(16)	1012057830369630217	0 52 60 64 66 76 84 90 106 112 120 130 132 136 144 196	443409607598
SPT(16)	1012057878902701159	0 90 114 118 124 198 258 280 378 400 460 534 540 544 568 658	491942678540
STPT(10)	1012058426246423399	0 2 18 20 30 32 42 44 60 62	1039286400780