Prime p₀= 1081936157017228127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 22 2 94 2 40 2 10 2 (?)
a_n: 0 2 30 32 60 62 84 86 180 182 222 224 234 236
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: Theadalus
db: batch=76, k=14, 28 28 22 94 40 10

SPT(16)	1081935209631798649	0 4 18 40 52 54 64 72 220 228 238 240 252 274 288 292	-947385429478
SPT(16)	1081935329225613307	0 4 12 22 70 84 112 124 162 174 202 216 264 274 282 286	-827791614820
SPT(16)	1081935351434675653	0 16 70 130 160 196 198 270 334 406 408 444 474 534 588 604	-805582552474
STPT(10)	1081935505507441139	0 2 42 44 60 62 78 80 120 122	-651509786988
SPT(16)	1081935795240428071	0 28 40 48 72 82 108 130 138 160 186 196 220 228 240 268	-361776800056
SPT(16)	1081936145965160407	0 4 22 64 70 76 102 124 342 364 390 396 402 444 462 466	-11052067720
SPT(16)	1081936223180425381	0 18 42 60 72 82 108 118 150 160 186 196 208 226 250 268	66163197254
TPT(16)	1081936562360881307	0 2 90 92 120 122 150 152 210 212 330 332 390 392 420 422	405343653180
STPT(12)	1081936562360881427	0 2 30 32 90 92 210 212 270 272 300 302	405343653300
SPT(16)	1081936887072295259	0 32 42 68 80 98 102 120 140 158 162 180 192 218 228 260	730055067132
TPT(14)	1081936945977051317	0 2 24 26 30 32 60 62 72 74 102 104 114 116	788959823190