Prime p₀= 2774540390114586011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 58 2 10 2 148 2 4 2 (?)
a_n: 0 2 6 8 18 20 78 80 90 92 240 242 246 248
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: 248
Found by: [SG-FC] hl
db: batch=82, k=14, 4 10 58 10 148 4

SPT(16)	2774538910017539897	0 14 24 66 72 122 144 150 176 182 204 254 260 302 312 326	-1480097046114
STPT(10)	2774538915389058677	0 2 30 32 72 74 114 116 144 146	-1474725527334
SPT(16)	2774539496857849247	0 24 62 72 74 92 104 150 224 270 282 300 302 312 350 374	-893256736764
STPT(10)	2774539543556351927	0 2 30 32 72 74 114 116 144 146	-846558234084
TPT(14)	2774539876175106617	0 2 12 14 90 92 144 146 180 182 210 212 240 242	-513939479394
STPT(10)	2774539911948951071	0 2 30 32 78 80 126 128 156 158	-478165634940
SPT(16)	2774540555479107629	0 8 14 74 78 92 104 120 152 168 180 194 198 258 264 272	165364521618
STPT(10)	2774541050273978561	0 2 36 38 78 80 120 122 156 158	660159392550
STPT(10)	2774541118558340567	0 2 42 44 72 74 102 104 144 146	728443754556
STPT(10)	2774541290615066657	0 2 24 26 42 44 60 62 84 86	900500480646
SPT(16)	2774541333454432141	0 18 22 70 108 112 120 150 400 430 438 442 480 528 532 550	943339846130