Prime p₀= 2730135652861089659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: herby44
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2730134413431183461	0 2 6 8 96 98 108 110 150 152 258 260 570 572	-1239429906198
STPT(10)	2730134511062828267	0 2 30 32 72 74 114 116 144 146	-1141798261392
SPT(16)	2730134560096763461	0 52 90 132 160 166 168 192 196 220 222 228 256 298 336 388	-1092764326198
STPT(10)	2730134829646246457	0 2 30 32 42 44 54 56 84 86	-823214843202
SPT(16)	2730135279084004261	0 16 28 52 60 72 88 120 178 210 226 238 246 270 282 298	-373777085398
SPT(16)	2730135337043350693	0 46 48 70 108 118 130 178 186 234 246 256 294 316 318 364	-315817738966
SPT(16)	2730135835240537433	0 8 14 26 68 84 98 176 198 276 290 306 348 360 366 374	182379447774
STPT(10)	2730136059658969007	0 2 54 56 72 74 90 92 144 146	406797879348
STPT(10)	2730136339228933637	0 2 30 32 60 62 90 92 120 122	686367843978
STPT(12)	2730136518743935529	0 2 42 44 48 50 132 134 138 140 180 182	865882845870
SPT(16)	2730136660876659373	0 6 16 28 34 36 54 58 96 100 118 120 126 138 148 154	1008015569714