Prime p₀= 2258883302858699159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 94 2 10 2 10 2 16 2 (?)
a_n: 0 2 42 44 102 104 198 200 210 212 222 224 240 242
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: Landjunge
db: batch=81, k=14, 40 58 94 10 10 16

SPT(16)	2258882478167220539	0 32 54 174 182 210 222 240 242 260 272 300 308 428 450 482	-824691478620
SPT(16)	2258882571952781849	0 32 42 44 60 104 140 144 170 174 210 254 270 272 282 314	-730905917310
STPT(10)	2258882634230981579	0 2 78 80 120 122 162 164 240 242	-668627717580
STPT(10)	2258882905139034899	0 2 48 50 90 92 132 134 180 182	-397719664260
STPT(10)	2258883032153666057	0 2 42 44 72 74 102 104 144 146	-270705033102
SPT(16)	2258883105938416003	0 30 40 78 106 118 148 180 184 216 246 258 286 324 334 364	-196920283156
STPT(10)	2258883568718765237	0 2 12 14 72 74 132 134 144 146	265860066078
STPT(10)	2258883772328873021	0 2 66 68 138 140 210 212 276 278	469470173862
SPT(16)	2258883970531713397	0 6 10 12 34 42 46 124 132 210 214 222 244 246 250 256	667673014238
STPT(10)	2258883983100628727	0 2 30 32 42 44 54 56 84 86	680241929568
TPT(14)	2258883992072628539	0 2 12 14 48 50 78 80 108 110 150 152 168 170	689213929380