Prime p₀= 2721227365973446487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 34 2 10 2 46 2 40 2 10 2 (?)
a_n: 0 2 84 86 120 122 132 134 180 182 222 224 234 236
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: 236
Found by: [SG-FC] hl
db: batch=82, k=14, 82 34 10 46 40 10

SPT(16)	2721225290899320949	0 24 28 64 90 102 108 118 144 154 160 172 198 234 238 262	-2075074125538
STPT(10)	2721225708722818049	0 2 18 20 30 32 42 44 60 62	-1657250628438
SPT(16)	2721225813886535717	0 66 84 86 104 110 116 146 150 180 186 192 210 212 230 296	-1552086910770
STPT(10)	2721226174365645731	0 2 36 38 78 80 120 122 156 158	-1191607800756
STPT(10)	2721226854232200407	0 2 30 32 60 62 90 92 120 122	-511741246080
SPT(16)	2721227011244811023	0 6 36 44 84 120 128 164 180 216 224 260 300 308 338 344	-354728635464
STPT(10)	2721227403267287639	0 2 48 50 90 92 132 134 180 182	37293841152
SPT(16)	2721227700303437789	0 8 18 32 44 50 60 128 204 272 282 288 300 314 324 332	334329991302
STPT(10)	2721228031303870349	0 2 48 50 60 62 72 74 120 122	665330423862
SPT(16)	2721228158734973029	0 10 24 114 130 154 162 168 214 220 228 252 268 358 372 382	792761526542
SPT(16)	2721228421121568331	0 58 78 88 162 172 178 180 238 240 246 256 330 340 360 418	1055148121844