Prime p₀= 3002628706913753339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 16 2 118 2 28 2 148 2 (?)
a_n: 0 2 90 92 102 104 120 122 240 242 270 272 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 88 10 16 118 28 148

STPT(10)	3002627141016477641	0 2 6 8 18 20 30 32 36 38	-1565897275698
STPT(10)	3002627405928463811	0 2 36 38 78 80 120 122 156 158	-1300985289528
SPT(16)	3002627803063170631	0 10 18 52 60 76 90 96 172 178 192 208 216 250 258 268	-903850582708
STPT(10)	3002628342490738277	0 2 30 32 42 44 54 56 84 86	-364423015062
STPT(12)	3002628413272654457	0 2 12 14 42 44 102 104 132 134 144 146	-293641098882
SPT(16)	3002628606127218073	0 108 124 126 154 208 238 250 264 276 306 360 388 390 406 514	-100786535266
STPT(12)	3002629019520376691	0 2 30 32 90 92 96 98 156 158 186 188	312606623352
TPT(14)	3002629095189135287	0 2 30 32 120 122 150 152 192 194 204 206 264 266	388275381948
STPT(10)	3002629475173240007	0 2 30 32 42 44 54 56 84 86	768259486668
SPT(16)	3002629783187810521	0 6 12 28 78 88 126 162 166 202 240 250 300 316 322 328	1076274057182
STPT(10)	3002630140220382311	0 2 6 8 48 50 90 92 96 98	1433306628972