Prime p₀= 1242609867073582037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1242607760092182619	0 10 42 90 132 142 154 192 262 300 312 322 364 412 444 454	-2106981399418
STPT(10)	1242608002360306469	0 2 18 20 30 32 42 44 60 62	-1864713275568
STPT(10)	1242608160838829537	0 2 30 32 42 44 54 56 84 86	-1706234752500
SPT(16)	1242608930155479349	0 12 28 42 78 82 94 124 138 168 180 184 220 234 250 262	-936918102688
SPT(16)	1242609464388442819	0 30 40 114 130 162 198 204 208 214 250 282 298 372 382 412	-402685139218
STPT(10)	1242609782002076177	0 2 30 32 42 44 54 56 84 86	-85071505860
STPT(10)	1242609884810705441	0 2 30 32 60 62 90 92 120 122	17737123404
SPT(16)	1242609951971793271	0 12 18 40 58 70 88 96 202 210 228 240 258 280 286 298	84898211234
SPT(16)	1242610250184451259	0 42 44 60 62 72 102 114 140 152 182 192 194 210 212 254	383110869222
SPT(16)	1242610401803124997	0 12 16 24 30 42 126 132 244 250 334 346 352 360 364 376	534729542960
STPT(12)	1242610671295299989	0 2 12 14 42 44 60 62 90 92 102 104	804221717952