Prime p₀= 1137835933181600831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 34 2 250 2 10 2 34 2 (?)
a_n: 0 2 48 50 90 92 126 128 378 380 390 392 426 428
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: 428
Found by: stoneageman
db: batch=76, k=14, 46 40 34 250 10 34

SPT(16)	1137835144462554253	0 16 30 36 58 70 78 88 126 136 144 156 178 184 198 214	-788719046578
STPT(10)	1137835369041229889	0 2 18 20 30 32 42 44 60 62	-564140370942
STPT(10)	1137835417824100811	0 2 6 8 48 50 90 92 96 98	-515357500020
TPT(14)	1137835445048733647	0 2 54 56 72 74 102 104 150 152 234 236 240 242	-488132867184
SPT(16)	1137835616282353159	0 10 42 58 70 84 94 108 184 198 208 222 234 250 282 292	-316899247672
SPT(16)	1137835913963442143	0 8 20 24 50 90 108 120 128 140 158 198 224 228 240 248	-19218158688
STPT(10)	1137836618222927681	0 2 36 38 78 80 120 122 156 158	685041326850
TPT(14)	1137836765573357711	0 2 30 32 138 140 156 158 180 182 198 200 210 212	832391756880
STPT(10)	1137836809506570881	0 2 36 38 78 80 120 122 156 158	876324970050
STPT(10)	1137836834211589409	0 2 42 44 60 62 78 80 120 122	901029988578
SPT(16)	1137837012653947741	0 28 70 90 108 130 136 142 186 192 198 220 238 258 300 328	1079472346910