Prime p₀= 2960757213305766617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 40 2 58 2 16 2 10 2 (?)
a_n: 0 2 12 14 120 122 162 164 222 224 240 242 252 254
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: 254
Found by: Landjunge
db: batch=82, k=14, 10 106 40 58 16 10

SPT(16)	2960755355701586519	0 20 42 84 90 138 152 164 168 180 194 242 248 290 312 332	-1857604180098
TPT(14)	2960755850681813687	0 2 42 44 72 74 114 116 150 152 180 182 240 242	-1362623952930
SPT(16)	2960756145003942919	0 18 22 28 78 118 132 138 154 160 174 214 264 270 274 292	-1068301823698
SPT(16)	2960756172313345663	0 34 46 54 60 66 70 76 138 144 148 154 160 168 180 214	-1040992420954
STPT(10)	2960756746298085101	0 2 6 8 48 50 90 92 96 98	-467007681516
SPT(16)	2960757020644922749	0 22 34 130 144 160 202 204 220 222 264 280 294 390 402 424	-192660843868
SPT(16)	2960757295032102343	0 10 18 30 78 148 198 238 390 430 480 550 598 610 618 628	81726335726
STPT(10)	2960757306070728719	0 2 42 44 60 62 78 80 120 122	92764962102
SPT(16)	2960757835372782563	0 20 60 96 98 114 126 140 144 158 170 186 188 224 264 284	622067015946
STPT(10)	2960758261544311799	0 2 18 20 30 32 42 44 60 62	1048238545182
TPT(14)	2960758792679929469	0 2 60 62 90 92 138 140 222 224 228 230 252 254	1579374162852