Prime p₀= 1245752291498372027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1245751348635763793	0 18 38 50 80 104 116 134 150 168 180 204 234 246 266 284	-942862608234
SPT(16)	1245751452514695421	0 22 58 72 120 142 148 150 190 192 198 220 268 282 318 340	-838983676606
SPT(16)	1245751780207871009	0 20 62 68 78 80 98 110 120 132 150 152 162 168 210 230	-511290501018
SPT(16)	1245751814825207509	0 4 24 30 42 70 88 172 210 294 312 340 352 358 378 382	-476673164518
STPT(10)	1245751982395494359	0 2 30 32 60 62 90 92 120 122	-309102877668
SPT(16)	1245752260501380161	0 8 50 56 98 102 116 176 192 252 266 270 312 318 360 368	-30996991866
STPT(10)	1245752330620939187	0 2 54 56 72 74 90 92 144 146	39122567160
SPT(16)	1245752536597269947	0 12 24 26 56 72 96 116 120 140 164 180 210 212 224 236	245098897920
STPT(10)	1245752575595365379	0 2 12 14 90 92 168 170 180 182	284096993352
STPT(10)	1245752939272479887	0 2 30 32 42 44 54 56 84 86	647774107860
SPT(16)	1245753026481592423	0 6 34 124 138 148 156 160 204 208 216 226 240 330 358 364	734983220396