Prime p₀= 2646724268759598029 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2646722786560467911	0 2 6 8 18 20 30 32 36 38	-1482199130118
SPT(16)	2646722922027696299	0 2 42 68 72 74 78 102 110 134 138 140 144 170 210 212	-1346731901730
SPT(16)	2646722928995679791	0 6 8 12 36 50 66 78 110 122 138 152 176 180 182 188	-1339763918238
SPT(16)	2646723878755990141	0 6 42 78 82 106 108 142 216 250 252 276 280 316 352 358	-390003607888
SPT(16)	2646723929339835221	0 2 6 18 56 62 92 122 126 156 186 192 230 242 246 248	-339419762808
SPT(16)	2646724113934821779	0 8 24 42 50 84 102 104 138 140 158 192 200 218 234 242	-154824776250
STPT(10)	2646724519751541797	0 2 12 14 42 44 72 74 84 86	250991943768
STPT(10)	2646724688344165697	0 2 72 74 102 104 132 134 204 206	419584567668
SPT(16)	2646724807435861091	0 2 32 38 66 90 192 212 246 266 368 392 420 426 456 458	538676263062
SPT(16)	2646724814364203203	0 28 36 54 70 100 124 148 186 210 234 264 280 298 306 334	545604605174
STPT(10)	2646724826263042697	0 2 12 14 72 74 132 134 144 146	557503444668