Prime p₀= 1347953597988979691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 10 2 184 2 22 2 58 2 (?)
a_n: 0 2 90 92 138 140 150 152 336 338 360 362 420 422
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: 422
Found by: stoneageman
db: batch=77, k=14, 88 46 10 184 22 58

STPT(10)	1347951826231003457	0 2 90 92 102 104 114 116 204 206	-1771757976234
SPT(16)	1347952196459567747	0 26 42 54 72 86 114 122 174 182 210 224 242 254 270 296	-1401529411944
SPT(16)	1347952206108045919	0 10 24 42 64 72 78 112 150 184 190 198 220 238 252 262	-1391880933772
SPT(16)	1347952473962239529	0 2 18 30 42 48 68 72 128 132 152 158 170 182 198 200	-1124026740162
STPT(10)	1347952633148411627	0 2 30 32 42 44 54 56 84 86	-964840568064
STPT(10)	1347953475814677617	0 2 30 32 72 74 114 116 144 146	-122174302074
STPT(10)	1347953702408848037	0 2 24 26 42 44 60 62 84 86	104419868346
SPT(16)	1347953732792097569	0 14 68 78 92 120 158 180 182 204 242 270 284 294 348 362	134803117878
SPT(16)	1347953957070842881	0 12 58 60 70 82 132 162 166 196 246 258 268 270 316 328	359081863190
STPT(10)	1347954053951235551	0 2 6 8 18 20 30 32 36 38	455962255860
SPT(16)	1347954070524839149	0 22 28 30 52 60 82 88 204 210 232 240 262 264 270 292	472535859458