Prime p₀= 862706928222208919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 28 2 10 2 16 2 58 2 (?)
a_n: 0 2 42 44 90 92 120 122 132 134 150 152 210 212
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: 212
Found by: scrap
db: batch=73, k=14, 40 46 28 10 16 58

SPT(16)	862705963222105973	0 26 36 54 98 126 236 276 278 318 428 456 500 518 528 554	-965000102946
STPT(10)	862705980627155099	0 2 78 80 120 122 162 164 240 242	-947595053820
STPT(10)	862706079734675357	0 2 30 32 42 44 54 56 84 86	-848487533562
STPT(10)	862706177177141327	0 2 30 32 60 62 90 92 120 122	-751045067592
TPT(14)	862706422211314097	0 2 42 44 60 62 72 74 174 176 222 224 312 314	-506010894822
SPT(16)	862706509992767897	0 2 14 30 36 56 86 120 176 210 240 260 266 282 294 296	-418229441022
SPT(16)	862707020770555319	0 24 30 42 72 80 84 104 108 128 132 140 170 182 188 212	92548346400
SPT(16)	862707184093146341	0 6 20 32 56 120 126 152 210 236 242 306 330 342 356 362	255870937422
TPT(14)	862707455689887341	0 2 30 32 48 50 78 80 120 122 186 188 198 200	527467678422
SPT(16)	862707577580581927	0 34 36 42 54 82 96 120 166 190 204 232 244 250 252 286	649358373008
SPT(16)	862707675052109699	0 14 38 54 72 134 138 164 198 224 228 290 308 324 348 362	746829900780