Prime p₀= 2774539876175106617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 52 2 34 2 28 2 28 2 (?)
a_n: 0 2 12 14 90 92 144 146 180 182 210 212 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 10 76 52 34 28 28

TPT(14)	2774538512523076601	0 2 66 68 78 80 168 170 198 200 210 212 288 290	-1363652030016
SPT(16)	2774538806474925629	0 24 38 42 44 72 80 98 174 192 200 228 230 234 248 272	-1069700180988
SPT(16)	2774538910017539897	0 14 24 66 72 122 144 150 176 182 204 254 260 302 312 326	-966157566720
STPT(10)	2774538915389058677	0 2 30 32 72 74 114 116 144 146	-960786047940
SPT(16)	2774539496857849247	0 24 62 72 74 92 104 150 224 270 282 300 302 312 350 374	-379317257370
STPT(10)	2774539543556351927	0 2 30 32 72 74 114 116 144 146	-332618754690
STPT(10)	2774539911948951071	0 2 30 32 78 80 126 128 156 158	35773844454
TPT(14)	2774540390114586011	0 2 6 8 18 20 78 80 90 92 240 242 246 248	513939479394
SPT(16)	2774540555479107629	0 8 14 74 78 92 104 120 152 168 180 194 198 258 264 272	679304001012
STPT(10)	2774541050273978561	0 2 36 38 78 80 120 122 156 158	1174098871944
STPT(10)	2774541118558340567	0 2 42 44 72 74 102 104 144 146	1242383233950