Prime p₀= 2818002277773834131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 52 2 4 2 10 2 40 2 (?)
a_n: 0 2 30 32 66 68 120 122 126 128 138 140 180 182
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: [SG-FC] hl
db: batch=82, k=14, 28 34 52 4 10 40

SPT(16)	2817999237182131151	0 2 80 86 90 156 186 198 200 212 242 308 312 318 396 398	-3040591702980
SPT(16)	2818000347846387491	0 2 36 60 62 68 86 90 98 102 120 126 128 152 186 188	-1929927446640
STPT(10)	2818000449892458167	0 2 30 32 42 44 54 56 84 86	-1827881375964
STPT(10)	2818000624250084387	0 2 72 74 102 104 132 134 204 206	-1653523749744
SPT(16)	2818001639681601281	0 30 56 68 80 96 102 140 168 206 212 228 240 252 278 308	-638092232850
SPT(16)	2818001668474179449	0 8 12 48 62 78 92 104 198 210 224 240 254 290 294 302	-609299654682
SPT(16)	2818002602449368731	0 8 18 36 60 78 102 126 152 176 200 218 242 260 270 278	324675534600
STPT(10)	2818002805121643281	0 2 6 8 18 20 30 32 36 38	527347809150
SPT(16)	2818002941535020219	0 2 14 18 30 50 68 92 120 144 162 182 194 198 210 212	663761186088
SPT(13)	2818003109223737909	0 18 60 84 144 168 174 180 204 264 288 330 348	831449903778
SPT(16)	2818003205657285441	0 48 56 78 102 120 126 132 146 152 158 176 200 222 230 278	927883451310